Question

Solve this system of equations usingthe substitution method.y = x - 14x + 8 = y=([?], [])

Answer 1

(-3,-4)

Explanation:

Given the system of equations:

`\begin{gathered} y=x-1\cdots(1) \\ 4x+8=y\cdots(2) \end{gathered}`

Substitute equation (1) into equation (2):

Solve the resulting equation for x:

`\begin{gathered} \text{Subtract x from both sides:} \\ 4x-x+8=x-x-1 \\ 3x+8=-1 \\ \text{Subtract 8 from both s}\imaginaryI\text{des} \\ 3x+8-8=-1-8 \\ 3x=-9 \\ \text{ Divide both sides by 3} \\ (3x)/(3)=-(9)/(3) \\ x=-3 \end{gathered}`

Using equation (1), solve for y:

`\begin{gathered} y=x-1 \\ =-3-1 \\ =-4 \end{gathered}`

The solution to the system of linear equation is (x,y)=(-3,-4).