How do you solve the following system: 10y=42+2x , 3x - 3y = 2 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer G_Ozdilek Aug 31, 2016 y=65/12 and x=73/12 Explanation: x-y =2/3 or x=y + 2/3 10*y = 42 + 2*(y+(2/3)) 10*y - 2*y = 42 + 4/3 8*y = (126 + 4)/3 8*y = 130/3 y = 130 /(8*3) y = 65/12 After this step, you can solve x: x = 65/12 + 2/3 or x= (65+8)/12 x= 73/12 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 1252 views around the world You can reuse this answer Creative Commons License