What is the solution to this system of equations? 4x + 5y = 7
3x – 2y =-12
The solution is
(-2, 3)
(3.-1)
(18. -9)
(13,-9)​

Answers

Answer 1

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!


Related Questions

Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal

Answers

Answer:

A po ang answer kahit icompute pa po.

Step-by-step explanation:

hope it helps you po!

What equation is represented by this graph?

Answers

Answer:

y= 1.2x+1

Step-by-step explanation:

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

What is the answer for (a^2+12c)÷7b-1

Answers

Answer:

Step-by-step explanation:

Integer roots:

a = 6 n + 1, b = 7, c = -3 n^2 - n, n element Z

a = 6 n + 5, b = 7, c = -3 n^2 - 5 n - 2, n element Z

Derivative:

d/da(1/7 (a^2 + 12 c) b - 1) = (2 a b)/7

Indefinite integral:

integral(-1 + 1/7 b (a^2 + 12 c)) da = (a^3 b)/21 + (12 a b c)/7 - a + constant

Related Queries:

help me pls mathhh mhm

Answers

Answer:

f = -15

Step-by-step explanation:

3(f/3) equals f

3(-5) equals -15

The final equation becomes: f = -15

Find the distance between the points (4.5,-1.5), (4.5,7.25)
The distance is ____.

Answers

Answer:

8.75

Step-by-step explanation:

Find the values of the variable In The figure

Answers

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]

Write each product using an exponent.

9 × 9 × 9 × 9

Answers

Answer:

9^4 is what you’re looking for right?

Step-by-step explanation:

Answer:

9^4

Step-by-step explanation:

The number 9 is timed for 4 times (sorry for my broken english as my english is bad)

if 40% percent is a number of 35 what is 50% of that number

Answers

Answer:

what is 50% of 35?

Answer is 17.5.

Step-by-step explanation:

Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.

Answers

Answer:

24 [tex]\frac {3} {8}[/tex] m

Step-by-step explanation:

[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]

[tex]\frac{15x13}{2x4}[/tex]

Simplify

[tex]\frac{195}{8}[/tex]

Answer: 24 [tex]\frac{3}{8}[/tex] m

The area of the grass seed Jerome needs to cover is A = 34.375 m²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the grass seed needs to cover be A

Now , the area of the lawn L = ( 11 3/4 ) x 5 m²

The area of the lawn L = 58.75 m²

where the length of the pool l= ( 7 1/2 ) m = 7.5 m

The width of the pool is w = ( 3 1/4 ) m = 3.25 m

Now , Area of Rectangle = Length x Width

On simplifying , we get

Area of the pool P = 7.5 x 3.25 = 24.375 m²

Now , the area of the grass seed needs to cover A = L - P

The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²

The area of the grass seed needs to cover A = 34.375 m²

Therefore , the value of A is 34.375 m²

Hence , the area of the grass seed is 34.375 m²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ3

PLEASE HELP!!! I GIVE 15 POINTS!
Flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet. What is the probability that a carpet that is 7 feet by 14 feet contains no flaws?

Probability =
Enter your answer in terms of e.

Answers

Answer:

The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Step-by-step explanation:

Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:

7 x 14 = 98

1/260 = 0.003

98 = 100

0.003 = X

0.003 x 100/98 = X

0.0039 = X

100 - 0.0039 = 99.996

Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Which of the following describes an acute isosceles triangle?

A. At least one angle is 90° and two sides are equal in length.

B. All angles are less than 90° and two sides are congruent.

C. No two sides are equal in length and all angles are greater than 90°.
D All three sides are different lengths and all angles are less than 90°.

Please answer fast it’s for a test

Answers

The answer is d btw post a picture too

Solve a" + 14a + 45 = 0 by factoring

Answers

Answer:

a = -3

Step-by-step explanation:

-3 + (14 * -3) + 45 = 0

-3 + -42 + 45 = 0

-3 + 3 = 0

So, the answer is -3

Hope this helps! :)

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!


A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.

Answers

Answer:

648cm³

Step-by-step explanation:

The container is a cuboid thus:

volume of water is:

v=l×w×h

=10×24×7

=1680cm³

volume of water+stone=10×24×(7+2.7)

=10×24×9.7

=2328cm³

Thus volume of stone equals

2328-1680.

=648cm³

The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range

Answers

Answer:

We can not see the graph, but that does not matter.

For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.

First, for the domain, we start assuming that the domain is the set of all real numbers.

Then we look at our function, there is a point that causes a problem?

(a problem can be a zero in a denominator, for example)

Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.

For the range we first need to find the minimum (or maximum value) of f(x).

Here we know that the vertex is (1, - 3)

If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3

And the arms go upwards infinitely, so there is no upper limit.

Then the range is the set of all numbers such that:

-3 ≤ y

Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3

And with similar thinking than in the above case, we can find that the range is:

R:  y ≤ -3.

A salesman is paid $15.00 per hour for 7 hours plus $9.00 for each sale, x, she makes. She wants to earn more than $150.

Which inequality matches the situation?

Answers

Answer:

what are the options???

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?


8.2 inches


10.4 inches


12.1 inches


23.6 inches

Answers

C Correct ~~~~~~~~~~~~~~~~~~~~~~

By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.

How to get the radius of the cylinder?

Remember that for a cylinder of radius R and height H the volume is:

[tex]V = 3.14*R^2*H[/tex]

In this case, the height is twice the radius, so we have:

H = 2R

[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]

And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:

[tex]3,500 in^3 = 6.28*R^3[/tex]

[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]

The approximate radius of the cylinder must be 8.2 inches.

If you want to learn more about cylinders you can read:

https://brainly.com/question/9554871

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

Alternate Exterior

Step-by-step explanation:

This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.  

The answer is b. Alternate interior because they are opposite

Two equivalent fractions for 1/6?

Answers

Answer:

[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]

Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).

Answers

Answer:

22 units

Step-by-step explanation:

Graphed to solve.

Width:

The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.

Length:

The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.

14 + 8 = 22

PLEASE HELP ME PLEASE!

Answers

They can because of zero property. If we set them equal to zero we get their roots which is 3 and -2. This is the same on the x axis which is goes through. We can mark these points.

What is the inverse relation of f(x)=1/5x−4/5?
y=1/5x−4
y=−1/5x+5/4
y=−5x−4
y=5x+4

Answers

Answer:

[tex]y' = 5x + 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Required

The inverse relation

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Rewrite as:

[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]

Swap x and y

[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]

Multiply through  by 5

[tex]5x = y - 4[/tex]

[tex]y = 5x +4[/tex]

Rewrite the new function as:

[tex]y' = 5x + 4[/tex]

In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this

Answers

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

Let x be the number of 3- point questions and y be the number of 5-points questions.

Step-by-step explanation:

Find the probability

Answers

Answer:

33.3333%

Step-by-step explanation:

each side would be 50% and if one side is split between three it would equal if it was 16.6667 each

since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%

What is it i’m really really really confused about it lollll

Answers

Answer:

it would be D

So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.

If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost

Think about it as breaking even.  You aren't actually gaining anything if you are gaining back the exact same amount you lost.

answer this please thanks

Answers

Answer:

4. c

6. e, a

Step-by-step explanation:

Hopefully, it correct

For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
12
x
6

Answers

Answer:

x=12

Step-by-step explanation:

what is m <1 + m <4?​

Answers

Answer:

m < 3 ?

Step-by-step explanation:

M>3 I’m guessing I need to answer 2 questions lol

4. What happens to the average kinetic energy of matter when heated?​

Answers

Kinetic energy increases, and particles move more

Answer:

because it is melted

Step-by-step explanation:

let

body heating on 100c and its average is 50

There are two ways to go from Fujairah to Sharjah , and four ways to go from Sharjah to Dubai. How many different ways are there to go from Fujairah to Dubai, passing through Sharjah?
6
8
16
12​

Answers

Answer:

8

Step-by-step explanation:

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