Answer
$x=1$
Work Step by Step
$y_{1}=2.5$ equation 1
$y_{2}=2x + 1$ equation 2
$y_{3}=x$ equation 3
$2y_{1}-3y_{2} =4y_{3}-8$ --> equation 4
Substitute equations 1 , 2 & 3 to equation 4:
$2y_{1}-3y_{2} =4y_{3}-8$
$2(2.5)-3(2x + 1) =4x-8$
Expand $3(2x + 1)$ = $6x+3$
Rewrite the equation:
$2(2.5)-(6x+3)=4x-8$
$5-6x-3=4x-8$
$2-6x=4x-8$
Subtract 2 from both sides:
$2-2-6x=4x-8-2$
$-6x=4x-10$
Simplify:
$-10x=-10$
Divide both sides by -10:
$x=1$
