SOLUTION: Solve the system using the substitution method. If the system has no solution or an infinite number of solutions, state this. 5x+y=13 2x=-3y

Question 455325: Solve the system using the substitution method. If the system has no solution or an infinite number of solutions, state this.
5x+y=13
2x=-3y
Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
Substitution method means make one of the equations "x=_" or "y=_", and then substitute that into the other equation.
Since the first equation has a y with no coefficient, solve for y in that equation.
5x + y = 13 --> y = 13 - 5x
Now substitute "13 - 5x" for y in the second equation.
2x = -3y --> 2x = -3(13 - 5x)
Solve for x.
2x = -39 + 15x
39 = 15x - 2x
39 = 13x
x = 3
Now solve for y using the equation y = 13 - 5x
y = 13 - 5x
y = 13 - 5(3)
y = 13 - 15
y = -2
The solution is x=3, y=-2.
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