Question #625d7 Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer Eddie Jan 22, 2017 x,y = 2,1 Explanation: A: qquad color(red)(3)x + 7y = 13 B: qquad color{red}{-9}x + 3y = -15 3 times A: qquad 9x + 21y = 39 (3 times A) + B implies qquad color(green)(9x + 21y) + color(blue)((-9x + 3y)) = color(green)(39) + color(blue)((-15)) OR: 24y = 24 implies y = 1 plug back into A: 3x + 7(1) = 13 implies x = 2 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 1506 views around the world You can reuse this answer Creative Commons License