How do you solve #8/(x-7) = 7/2#? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer Veddesh #phi# Feb 13, 2016 #x=9 2/7# Explanation: #8/(x-7)=7/2# Cross multiply #color(blue)(a/b=c/d,ad=bc# #rarr2(8)=7(x-7)# Use distributive property #color(orange)(a(b+c)=ab+ac# #rarr16=7x-49# #rarr7x=16+49# #rarr7x=65# #rArrx=65/7=9 2/7# 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 2956 views around the world You can reuse this answer Creative Commons License