Introductory Algebra for College Students (7th Edition)

y=3x-7 Plug this value for y into the other equation. 2x-3y=7 2x-3(3x-7)=7 2x-3(3x)-3(-7)=7 2x-9x+21=7 -7x+21=7 -7x+21-21=7-21 -7x=-14 x=$\frac{-14}{-7}$ x=2 Plug this value for x into the first equation to find y. y=3(2)-7 y=6-7 y=-1 Therefore the solution is {(2,-1)}