How do you solve the following system of equations?: #10x – 30y = -1, -2x +3y=12#? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer sankarankalyanam Jun 20, 2018 #color(indigo)(x = -119/10, y = -59/15# Explanation: #10x - 30y = -1, " Eqn (1)"## #-2x + 3y = 12, " Eqn (2)"# #cancel(10x) - 30y - cancel(10x) + 15y = -1 + 60, " Eqn (1) + 5 * Eqn (2)"# #-15y = 59 " or y = -(59/15)# #-2x + 3 * (-59/15) = 12# #-2x = 12 + 59 / 5 " or " x = -119/10# Answer link Related questions What if the elimination method results in 0=0? How do you use the addition and subtraction method to solve a linear system? Can any system be solved using the addition and subtraction method? When is the addition and subtraction method easier to use? How do you solve #-x-6y=-18# and #x-6y=-6# using the addition and subtraction method? How do you solve #5x-3y=-14# and #x-3y=2# using elimination? Do you need to add or subtract the equations #5x+7y=-31# and #5x-9y=17# to solve the system? How do you solve the system of equations #3y-4x=-33# and #5x-3y=40.5#? What is the solution to the system #x+y=2# and #x-y=6#? What is the common point of #x+2y=6# and #x+y=2#? See all questions in Linear Systems with Addition or Subtraction Impact of this question 1589 views around the world You can reuse this answer Creative Commons License