Question

What is the x-value of the solution to this system of equations? x = 2y - 4 7x + 5y = -66 F-2 G 19 7 H -8 62 19

Answer 1

x = -8

Step-by-step explanation:

Given the below system of equations;

`\begin{gathered} x=2y-4\ldots\ldots\ldots\ldots\ldots\text{.Equation 1} \\ 7x+5y=-66\ldots\ldots\ldots\ldots\text{Equation 2} \end{gathered}`

The solve the above, let's go ahead and put equation 1 into equation 2 and solve for y;

`\begin{gathered} 7(2y-4)+5y=-66 \\ 14y-28+5y=-66 \\ 19y=-66+28 \\ 19y=-38 \\ y=-(38)/(19) \\ y=-2 \end{gathered}`

To find x, we have to substitute the value of y into equation 1 and solve for x;

`\begin{gathered} x=2(-2)-4=-4-4=-8 \\ x=-8 \end{gathered}`