What would be the best method to solve
the system of equations below?
6x + 3y = 21
2x – 3y = -13
Answers
You can isolate the y value by subtracting the x to the other side. All the numbers have 3 in common, so you need to divide all of them by 3. I would then substitute the new equation into the 2x-3y=-13, making it 2x-3(-2x+7)=-13
You wove the equation, and once you get your x value, you needles to substitute it in the equation: y=-2x+7
The final answers will be x=1 and y=5
Elimination method is the best method to solve the system of equations below
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations
6x + 3y = 21...(1)
2x – 3y = -13...(2)
Add equations (1) and (2)
6x+3y+2x-3y=21-13
8x=8
Divide both sides by 8
x=1
Now plug in x value in equation 1
6+3y=21
Subtract 6 from both sides
3y=15
Divide both sides by 3
y=5
By Elimination method we find the values of x and y.
Hence, Elimination method is the best method to solve the system of equations below
To learn more on Equation:
https://brainly.com/question/10413253
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Related Questions
Geometry Substitution
I’m confused on how to substitute can someone give me a step by step explanation! Please
Answers
Answer:
x = 3
Step-by-step explanation:
I have attached a picture of me explaining you step by step.
Hope this helps, thank you !!
ohh plz help me i really could use it
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c
Step-by-step explanation:
Please help ASAP! :))
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Answer:
yellow
Step-by-step explanation:
What is the value of x that makes this figure correct? *
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Answer:
8
Step-by-step explanation:
Opposite angles are equal so
4x+12=44
4x=32
x=8
What is the circumference of the following circle?
Answers
C=2(pie)5
C=31.42
Answer:
31.4 units
Step-by-step explanation:
Formula
C = 2πr
C = 2π5
C = 2 * 3.14 * 5
C = 6.28 * 5
C = 31.4
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. What is the height of the tree?
Answers
Answer: 18ft
Step-by-step explanation: I took the quiz and got 100%
The height of the tree is 8.3 ft.
To solve this problem, we have to find the angle of elevation from the student.
To do this, we have to assume or bring out a right angle triangle and solve for the.
Given that we have the distance of A to F and the point to F
A to F = 5ftE to F = 6angle ?Trigonometric RatioUsing trigonometric ratio,
We can find the tangent of this angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]
The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees
[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]
Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be
[tex]15 - 5 = 10ft[/tex]
Let's use the tangent of the angle to find the height of the tree.
[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]
From the calculations above, the height of the tree is 8.3 ft.
Learn more on trigonometric ratio here;
https://brainly.com/question/10417664
If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?
Answers
Answer: 50km/hour
Step-by-step explanation:
Answer:
50 km an hour
Step-by-step explanation:
if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling
100 divided by 2 = 50
the person was traveling 50 km an hour
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Answers
Answer:
0 the answer
i hope its help
thats the right answer
−3 x^2 y^3 z^2 * -17 x^3 z^4
-(3 * -17) x^2 x^3 y^3 z^3 z^4
-(-51) x^2 x^3 y^3 z^2 z^4
-(-51x^2 x^3 y^3 z^2 z^4)
-(-51 x^5 y^3 z^2+4)
-(-51 x^5 y^3 z^6 )
51 x^5 y^3 z^6
Ramon’s teacher wrote the following table on the board
She then asked the class to write a rule for the nth term of the geometric sequence represented on the table, using the format an=a(r)^n-1
Select the values for a and r that Ramon should use in order to correctly write the rule for the nth term.
an= ___(___)^n-1
—> number choices
-3
-1/3
1/3
3
9
27
81
please only respond if you know the answer :)
Answers
Answer:
23
Step-by-step explanation:
i think if not correct sorry
HELP ME PLEASEEEEEEE
Answers
Answer:
Step-by-step explanation:
cos o = adjacent side /hypothenuse = OQ / PO
help with this please
answer needed urgently
Answers
Answer:
5
Step-by-step explanation:
If 30 equals 4 and 60 equals 7, then 40 will equal 5 and 50 will equal 6.
Write a recursive formula for the sequence: −3, 34, −316, 364, −3256
Answers
Answer:
-7
Step-by-step explanation:
find the slope of the line that passes through (4,1) and (7,5)
Answers
Answer:
4/3
Step-by-step explanation:
What is 74 in standard form?
Answers
Answer:
seventy four
Step-by-step explanation:
None
7.4 x 10^1
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8. A farmer has some ducks and pigs in his farm. A visitor counted 16 hoads and 50
legs for those animals. How many ducks and pigs are there in the farm?
A. 7 ducks and 9 pigs
C. 10 ducks and 6 pigs
B.7 pigs and 9 ducks
D. 10 pigs and 6 ducks
Answers
Answer:
A
Step-by-step explanation:
Ducks have 2 feet and 7x2=14
Pigs have 4 feet and 9x4= 36
36+14=50 legs
7+9= 16 heads
will give brainliest
Answers
Answer: 65°
Step-by-step explanation:
determine the solution to the equation.
Answers
5 x=32−7
5 x = 25
25x = 625
x=625/25
x=25
good luckkk
3. a. Carla buys a minivan for $20,500. She writes a proportion to find the selling price is S Is Carla's method correct? Explain.
Answers
Answer:
Yes Carla is correct.
Step-by-step explanation:
What power or what 10 does that equal
Answers
Answer:
3 x 10^5 is one example
Step-by-step explanation:
A power of 10 is how many times you multiply a certain equation by a certain number for example 3 x 10^5 = 300,000 or 4 x 10^5 = 400,000
hope this helps
What is an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors.
Answers
Answer:
36m-6
If im wrong im sorry
whats the anwser for - 4x +35> 2
Answers
Answer:
x<33/4
Step-by-step explanation:
-4x+35>2
-4x>2-35
-4x>-33
4x>33
x>33/4
x<33/4
PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay
Answers
Answer:
$216 or $162 (see below)
Step-by-step explanation:
If it's 18% for 9 months (and not per year)
then
1200x0.18=$216
If it's 18% per year then
1200x0.18x0.75=$162
find the slope of the line that goes through the given points
1. (0,7) (0,-8)
2. (-7,9) (-18,9)
3. (-5,9)(7,3)
4. (-7,8)(8,-3)
find the slope of the line from the given equation
1. y=-3x-4
2. y=2x+1
3. y= 3/2x
4. y= 5/9x+10
PLEASEEE HELP ILL MARK BRAINLIST
Answers
Answer:
1st=2. (-7,9) (-18,9)
2nd=4. y= 5/9x+10
points belong to a vertical line. There is no slope.
2. (-7,9) (-18,9)
points belong to a constant, linear function.
Slope= 0
3. (-5,9)(7,3)
m = -6 / 12 = -1 / 2 = Slope -0.5
4. (-7,8)(8,-3)
m = -11 / 15 = Slope -0.73333
Autumn invested $69,000 in an account paying an interest rate of 6 3/8% compounded continuously. Jayden invested $69,000 in an account paying an interest rate of 6 1/4% compounded quarterly. After 14 years, how much more money would Autumn have in her account than Jayden, to the nearest dollar?
Answers
Answer:
4,038.21
Step-by-step explanation:
I'm going to assume that when you write 6 3/8% that equals 51/8%=6.375%
To find the value in the first equation we have
69000*e^(.06375*14)=168,444.5313
The second equation is as follows
69000(1+(.0625/4))^(14*4)=164,406.3243
Subtract the two and get 4,038.2071
Write an equation that represents the line. Use exact numbers (i will mark you brainliest)✅
Answers
Answer:
y=4/5x-18/5
Step-by-step explanation:
there are multiple ways we can find the slope, let's use two points and the point slope form y=mx+b for this equation. we can find the slope by using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
in this case, we can use the two points (-3,-6), (2,-2)
y2=-2, y1=-6, x2=2, x1=-3
so, the equation is [tex]\frac{-2-(-6)}{2-(-3)}[/tex]
this reduces to 4/5
our slope is 4/5, so the equation for now is y=4/5x+b
let's use (2,-2) to find b. the y is -2, x is 2
-2=4/5(2)+b
-2=8/5+b, multiply both sides by 5:
-10=8+5b, subtract 8 from both sides
-18=5b, divide by 5
-18/5=b
our final equation is y=4/5x-18/5
A triangle has sides with lengths of 4 yards, 10 yards, and 11 yards. Is it a right triangle?
yes
no
Answers
Answer:
no
Step-by-step explanation:
for a triangle to be a right triangle, the sum of the square of its legs must equal the square of its hypotenuse
a² + b² = c²
in this problem, 4² + 10² ≠ 11²
16 + 100 ≠ 121
-6 + -8 10 points plz help
Answers
Answer
The answer is negative 14.
Step-by-step explanation:
When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
Answers
Answer:
B
Step-by-step explanation:
3 to the third power + 42
as a percentage.
Answer:
It is B
Step-by-step explanation:
need help with this question asap !!!
Answers
Answer:
I think it is B
Step-by-step explanation:
=========================================================
Work Shown:
The smaller angles UVN and NVW add up to the largest angle UVW.
This is due to the angle addition postulate.
(angle UVN) + (angle NVW) = angle UVW
(6x+13) + (46) = 11+10x
6x + 59 = 11 + 10x
6x - 10x = 11 - 59
-4x = -48
x = -48/(-4)
x = 12
----------------
Extra info:
If you're curious about the angles, then we use that x value to find them
angle UVN = 6x+13 = 6*12+13 = 72+13 = 85 degreesangle NVW = 46 degreesangle UVW = 11+10x = 11+10*12 = 11 + 120 = 131 degreesNote how 85+46 = 131 to show that (angle UVN) + (angle NVW) = angle UVW is a true equation. This confirms our answer for x.
Please help me out fast. And make sure to Write and solve an inequality. Or it isn't right.
Answers
Answer:
addition or multiplication?
Step-by-step explanation:
Answer:
6x + 45 > 240
Step-by-step explanation:
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