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.
[tex]5x - 4y = -3[/tex]
[tex]5x - 4(3x-5) = -3[/tex]
[tex]5x -12x+20=-3[/tex]
[tex]-20[/tex] [tex]-20[/tex]
_______________
[tex]5x-12x=-23[/tex]
[tex]-7x=-23[/tex]
___ ____
[tex]-7[/tex] [tex]-7[/tex]
[tex]x=3.29[/tex] (rounded)
Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.
[tex]y = 3x-5[/tex]
[tex]y = 3(3.29)-5[/tex]
[tex]y = 9.87-5[/tex]
[tex]y = 4.87[/tex]
So, your final answer would be (3.29, 4.87).
