How do you solve the following system: 3x+2y =0, -5x − y = 14 3x+2y=0,−5x−y=14? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Play223 · Stefan V. Jun 4, 2018 x=-4x=−4 y=6y=6 Explanation: {(3x+2y=0), (-5x-y=14):} Do 3x+2y=0 2(-5x-y=14) 3x+2y=0 -10x-2y=28 Add the two equations -7x=28 So x=28/-7 x=-4 Use x = -4 in the first equation 3(-4)+2y=0 -12+2y=0 2y=12 y=12/2=6 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 1951 views around the world You can reuse this answer Creative Commons License