Question

What is the solution to the system of equations?
x=3y+5
x-4y=3

Answer 1

Solve x=3y+5;x−4y=3

x=3y+5;x−4y=3Step: Solve x=3y+5for x:Step: Substitute 3y+5 for x in x−4y=3:x−4y=33y+5−4y=3−y+5=3 Simplify both sides of the equation−y+5+−5=3+−5 Add -5 to both sides−y=−2−y−1=−2−1 Divide both sides by -1y=2Step: Substitute 2 for y in x =3y+5:x=3y+5x=(3)(2)+5x=11 Simplify both sides of the equationAnswer:x=11 and y=2