Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 555: 10

Both equations are true, so the solution is correct.

In order to verify that they are both solutions, we substitute the values of both variables into both equations to ensure that they produce a true result: $$ 3(-2) + 2(4) =2 \\ -6+8=2 \\ 2=2$$ For equation two: $$-2-7(4)=-30 \\ -2-28=-30 \\-30=-30$$ Both equations are true, so the solution is correct.