Question

Solving the system of linear equation by substitution 2x - 8y =10x = -4y +7

Answer 1

Given data:

The first equation is 2x - 8y=10.

The second equation is x= -4y +7.

Substitute second equation into first.

`\begin{gathered} 2(-4y+7)-8y=10 \\ -8y+14-8y=10 \\ -16y=-4 \\ y=(1)/(4) \end{gathered}`

The value of x is,

`\begin{gathered} x=-4((1)/(4))+7 \\ =-1+7 \\ =6 \end{gathered}`

Thus,, the value of x is 6, and the value of y is 1/4.