Question

What is the x-coordinate of the solution of the system?
x+y+3
4x-y=-38

Answer 1

Note: I am assuming the first equation is:

x+y = 3

Answer:

The solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2

Explanation:

Given the system of equations

`\begin{bmatrix}x+y=34\\ x-y=-38\end{bmatrix}`

subtracting the equations

`x-y=-38`

`-`

`\underline{x+y=34}`

`-2y=-72`

solve -2y for y

`-2y=-72`

Divide both sides by -2

`(-2y)/(-2)=(-72)/(-2)`

`y=36`

For x+y=34 plug in y = 36

`x+36=34`

Subtract 36 from both sides

`x+36-36=34-36`

Simplify

`x=-2`

Thus, the solution to the system of equations is:

(x, y) = (-2, 36)

Therefore, the x-coordinate of the solution of the system

x = -2