Question

Use the substitution method to solve each linear system. 4x - 3y = -13,-2x + y = 4

Answer 1

The solutions to the system of equations are:

`x=(1)/(2),\:y=5`

Explanation:

Given the system of the equations

`\begin{bmatrix}4x-3y=-13\\ -2x+y=4\end{bmatrix}`

Isolate x for for 4x-3y=-13

`4x-3y=-13`

`4x=-13+3y`

Divide both sides by 4

`x=(-13+3y)/(4)`

substitute y=5

`x=(-13+3\cdot \:5)/(4)`

`x=(1)/(2)`

The solutions to the system of equations are:

`x=(1)/(2),\:y=5`