How do solve the following linear system?: x-4y=2 , x-7y=4 x−4y=2,x−7y=4? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Sara Dec 28, 2015 (-2/3,-2/3)(−23,−23) Explanation: Try to leave xx alone in one side of the equation, then equate the other sides; x=2+4y , x=4+7yx=2+4y,x=4+7y 2+4y=4+7y2+4y=4+7y ->→ -3y=2−3y=2 y=-2/3y=−23 Now, write -2/3−23 instead of yy in one of the equations, the value of xx will be the same for both of them. x=2+4.(-2/3)x=2+4.(−23) ->→ x=2-8/3x=2−83 x=-2/3x=−23 Answer link Related questions How do you solve systems of equations using the substitution method? How do you check your solutions to a systems of equations using the substitution method? When is the substitution method easier to use? How do you know if a solution is "no solution" or "infinite" when using the substitution method? How do you solve y=-6x-3y=−6x−3 and y=3y=3 using the substitution method? How do you solve 12y-3x=-112y−3x=−1 and x-4y=1x−4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14y=14x−14 and y=19/8x+7y=198x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5x+y=5 and 3x+y=153x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4x+2y=4 and -x-3y=-7−x−3y=−7? See all questions in Systems Using Substitution Impact of this question 1667 views around the world You can reuse this answer Creative Commons License