Question

What is the x-value of the solution to this system of equations?
x = 2y − 4
7x + 5y = −66

Answer 1

Step-by-step explanation:

x=2y - 4 _____(1)

7x+5y=-66_____(2)

put (1) in (2)

7(2y-4)+5y=-66

14y-28+5y=-66

19y-28=-66

19y=-66+28

19y=-38

y=-38/19

y=-2_____(3)

put (3) in (1)

x=2(-2)-4

x=-4-4

x=-8

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Answer 2

The value of x = - 8

Given :

System of equations

x = 2y - 4

7x + 5y = - 66

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given system of equations

Here the given System of equations are

x = 2y - 4 - - - - - - - (1)

7x + 5y = - 66 - - - - - - (2)

Step 2 of 2 :

Find the value of x

Putting the value of x in Equation 2 we get

7(2y - 4) + 5y = - 66

⇒ 14y - 28 + 5y = - 66

⇒ 19y - 28 = - 66

⇒ 19y = - 66 + 28

⇒ 19y = - 38

⇒ y = - 38/19

⇒ y = - 2

Putting the value of y in Equation 1 we get

x = 2 × ( - 2) - 4

⇒ x = - 4 - 4

⇒ x = - 8

Hence the required value of x = - 8

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