# SOLUTION: I would love to have some help with solving this system of equations using the substitution method. Thanks! x + y = 2 x = 4y + 5

Algebra ->  -> SOLUTION: I would love to have some help with solving this system of equations using the substitution method. Thanks! x + y = 2 x = 4y + 5       Log On

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 Question 133485: I would love to have some help with solving this system of equations using the substitution method. Thanks! x + y = 2 x = 4y + 5 Found 2 solutions by oscargut, solver91311:Answer by oscargut(1838)   (Show Source): You can put this solution on YOUR website!x + y = 2 x = 4y + 5 if you do the substitution of x in the first equation you have: 4y+5+y=2 then 5y=-3 then y=-3/5 then x=4(-3/5)+5=(-12/5)+25/5=13/5 then Answer: x=13/5 and y=-3/5 is the solution Answer by solver91311(18785)   (Show Source): You can put this solution on YOUR website! The second equation gives us an expression in terms of y that is equal to x, so we can substitute this expression into the first equation anywhere there is an x. Now collect terms: Add -5 to both sides: And divide by 5: Now take the first equation again and substitute this newly discovered value for y: Add to both sides: Therefore, the solution set to this system of equations consists of the single ordered pair (,) Check: Answer checks.