SOLUTION: solve by the substitution method. 3x+8y=-5 x=3-5y the solution is? or there is no solution?

Question 421503: solve by the substitution method.
3x+8y=-5
x=3-5y
the solution is?
or there is no solution?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve by the substitution method.
3x + 8y = -5
x = (3-5y); use this for substitution in the 1st equation
:
Replace x with (3-5y)
3(3-5y) + 8y = -5
;
Multiply what's inside the brackets by 3,
9 - 15y + 8y = -5
;
Subtract 9 from both sides
-15y + 8y = -5 - 9
-7y = -14
:
divide both sides by -7
y =
y = +2
;
Find x using the 2nd equation, replace y with 2
x = 3 - 5(2)
x = 3 - 10
x = -7
;
:
Check solution using the 1st equation
3x + 8y = -5
replace x with -7, y with 2
3(-7) + 8(2) =
-21 + 16 = -5; confirms our solutions of x=-7, y=2

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