Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises - Page 371: 18

(4,6)

We subtract 3x on both sides of the second equation to obtain that y=18-3x. Thus, in the first equation, wherever we see y, we will substitute 18-3x, and then we will solve: $4x=3(18-3x) -2 \\\\ 4x=52-9x \\\\ 13x=52 \\\\ x=4$ We now substitute x=4 back in: $y=18-3(4)=6$ We plug our values for x and y back into the first equation and confirm that our answer is, indeed, correct.