This using the substitution method
4x + 3y = 26x = 3/2y + 2solving for y:4 (3/2y + 2) + 3y = 266y + 8 + 3y = 269y + 8 =269y = 18y = 2solving for x:x = 3/2(2) + 2x = 3 + 2x = 5done. **optional: use second equation to check