Answer:x = -5/4, y = 0Step-by-step explanation:Solve the following system:{4 x + 6 y = -5 | (equation 1){8 x = 12 y - 10 | (equation 2)Express the system in standard form:{4 x + 6 y = -5 | (equation 1){8 x - 12 y = -10 | (equation 2)Swap equation 1 with equation 2:{8 x - 12 y = -10 | (equation 1){4 x + 6 y = -5 | (equation 2)Subtract 1/2 × (equation 1) from equation 2:{8 x - 12 y = -10 | (equation 1){0 x+12 y = 0 | (equation 2)Divide equation 1 by 2:{4 x - 6 y = -5 | (equation 1){0 x+12 y = 0 | (equation 2)Divide equation 2 by 12:{4 x - 6 y = -5 | (equation 1){0 x+y = 0 | (equation 2)Add 6 × (equation 2) to equation 1:{4 x+0 y = -5 | (equation 1){0 x+y = 0 | (equation 2)Divide equation 1 by 4:{x+0 y = (-5)/4 | (equation 1){0 x+y = 0 | (equation 2)Collect results:Answer: {x = -5/4, y = 0