Chapter 8 - Systems of Linear Equations and Problem Solving - 8.2 Solving by Substitution or Elimination - 8.2 Exercise Set - Page 516: 12

$(1,1)$

Variable $x$ is isolated in eq.$2$ $x=2y-1\qquad $(*) Replace $x$ with $2y-1$ in the other equation: $ 3y+(2y-1)=4\qquad$ ... and solve for $y$. Simplify $ 5y-1=4\qquad$ ... add 1 $5y=5$ $y=1$ Now, back-substitute into (*) $x=2(1)-1=2-1=1$ Form an ordered pair $(x,y) $ as the solution to the system $(1,1)$