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vampirchik [111]
3 years ago
5

Solve the system of equations using substitution

Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

x = 136/11 , y = 68/11

Step-by-step explanation:

Solve the following system:

{6 x - y = 68

2 y = x

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{6 x - y = 68

2 y = x

Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.

2 y = x is equivalent to x = 2 y:

{6 x - y = 68

x = 2 y

Hint: | Perform a substitution.

Substitute x = 2 y into the first equation:

{11 y = 68

x = 2 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{11 y = 68

x = 2 y

Hint: | Solve for y.

Divide both sides by 11:

{y = 68/11

x = 2 y

Hint: | Perform a back substitution.

Substitute y = 68/11 into the second equation:

{y = 68/11

x = 136/11

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 136/11 , y = 68/11

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Triangle TRS is similar to triangle TMN. Angle T = 40°, angle R = 60°, and angle S = 80° . What is the measure of angle M
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Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

Hence if triangle TRS is similar to triangle TMN, then;

<R = <M and <S = <N

Given that;

<T = 40 degrees

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<S = 80 degrees

Since <R = <M, then <M = 60degrees

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To solve for the coefficient of variation you will need this formula:
CV = (SD/X) x 100 
Where: CV = Coefficient of Variance
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             SD = Standard Deviation

To determine which one is more variable, just get the coefficient of both and compare.
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china receives a shipment of 125 dishes in 5 boxes, at this rate how many dishes will it receive in 15 boxes
Elena-2011 [213]
Simple....

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Answer:

4

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