Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method.
Part 2: Solve the following system of equations and show all of your work.
2x + 5y = −3
−15x − 5y = −10
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Answers & Comments
Verified answer
I would use elimination because it's all set up. You have a positive and negative 5, so they will cancel each other out very nicely.
2x+5y= -3
-15x-5y=-10
-13x= -13
x=1
-15(1)-5y=-10
-5y=5
y=-1
x=1 y=-1
I would use the elimination method because when you add the two equations, the variable y is eliminated.
Add the two equations:
-13x = -13
x = 1
Substitute:
2 + 5y = -3
5y = -5
y = -1
(1,-1) is the solution.
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