How do you solve the following system?: 1/2x=y-1 , -x+3y=-7 12x=y−1,−x+3y=−7 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer chinni · Stefan V. Apr 24, 2018 x=-20x=−20 y=-9y=−9 Explanation: The given equations are 1/2x = y-112x=y−1 -x+3y = -7−x+3y=−7 From 1/2x = y-112x=y−1 x=2(y-1)x=2(y−1) Substituting this xx value in equation -x+3y = -7−x+3y=−7 => - (2(y-1) + 3y = -7⇒−(2(y−1)+3y=−7 => -2y +2 +3y = -7⇒−2y+2+3y=−7 => y+2 = -7⇒y+2=−7 => y= -7-2⇒y=−7−2 => y = -9⇒y=−9 Substitute this yy value in any of the given equations to obtain the xx value -x +3y = -7−x+3y=−7 => -x + 3(-9) = -7⇒−x+3(−9)=−7 => -x -27 = -7⇒−x−27=−7 => x = -20 ⇒x=−20 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 1425 views around the world You can reuse this answer Creative Commons License