# SOLUTION: please help me to solve the following Use substitution to solve 4x + y = 17 and 3x - 5y = 30

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: please help me to solve the following Use substitution to solve 4x + y = 17 and 3x - 5y = 30      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Click here to see ALL problems on Linear-systems Question 63631This question is from textbook An Incremental Development : please help me to solve the following Use substitution to solve 4x + y = 17 and 3x - 5y = 30This question is from textbook An Incremental Development Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!Use substitution to solve E1: 4x + y = 17 E2: 3x - 5y = 30 Solve E1 for y and substitute it into E2 for y and solve for x. E1: -4x+4x+y=-4x+17 --> y=-4x+17 E2: 3x-5(-4x+17)=30 3x+20x-85=30 23x-85=30 23x-85+85=30+85 23x=115 23x/23=115/23 x=5 Substitute x=5 into E1 and solve for y: E1: 4(5)+y=17 20+y=17 -20+20+y=-20+17 y=-3 The solution: (x,y)=(5,-3) Check the solution by substituting 5 in for x and -3 in for y in both equations and see if the equations balance. E1: 4(5)+(-3)=17 20-3=17 17=17 E1 checks. E2: 3(5)-5(-3)=30 15+15=30 30=30 E2 also checks, so we know we're right! Happy Calculating!!!