How do solve the following linear system?: 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) Explanation: Try to leave x alone in one side of the equation, then equate the other sides; x=2+4y , x=4+7y 2+4y=4+7y -> -3y=2 y=-2/3 Now, write -2/3 instead of y in one of the equations, the value of x will be the same for both of them. x=2+4.(-2/3) -> x=2-8/3 x=-2/3 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-3 and y=3 using the substitution method? How do you solve 12y-3x=-1 and x-4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14 and y=19/8x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5 and 3x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4 and -x-3y=-7? See all questions in Systems Using Substitution Impact of this question 1668 views around the world You can reuse this answer Creative Commons License