Question

Solve the following system of equations using substitution.

Answer 1

To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.

$5x - 4y = -3$

$5x - 4(3x-5) = -3$

$5x -12x+20=-3$

               $-20$     $-20$  

_______________

$5x-12x=-23$

$-7x=-23$

___    ____

 $-7$       $-7$

$x=3.29$ (rounded)

Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.

$y = 3x-5$

$y = 3(3.29)-5$

$y = 9.87-5$

$y = 4.87$

So, your final answer would be (3.29, 4.87).