# SOLUTION: please help me figure it out #55 use substitution method 5x+2y=4 x=61-9y

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Expressions-with-variables Question 515386: please help me figure it out #55 use substitution method 5x+2y=4 x=61-9yAnswer by drcole(72)   (Show Source): You can put this solution on YOUR website!Since the second equation is already solved for x, we can substitute its right hand side for x in the first equation and get a new equation involving only y: (substituting 61 - 9y for x) Now we solve for y: (distributing 5 on the left side) (combining like terms) (subtracting 305 from both sides) (divide both sides by -43) So y = 7. To get x, we now substitute 7 for x in the first equation: SO our solution is x = -2 and y = 7. Let's check this. For the first equation, we get so that works. For the second equation, we get: which also works. So x = -2 and y = 7 is the correct solution.