Question

Solve the system by substitution y=2x-6 y=-x

Answer 1

The solution to the system of equations will be:

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

Explanation:

Given the system of equations

y=2x-6

y=-x

Solving the system of equations

`\begin{bmatrix}y=2x-6\\ y=-x\end{bmatrix}`

Substitute y = -x in y = 2x-6

y = 2x-6

-x = 2x-6

6 = 2x + x

3x = 6

divide both sides by 3

3x/3 = 6/3

x = 2

Now substitute x = 2 in y=-x

y=-x

y = -2

Therefore, the solution to the system of equations will be:

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