Solve the system of linear equations by elimination −2x+3y=7 and 5x+8y=−2
1 answer:
Hey!
Here's how you would solve it with elimination:
-2x + 3y = 7
5x + 8y = -2
Multiply first equation by 5 and the second one by 2:
-10x + 15y = 35
10x + 16y = -4
Add the two equations:
-10x + 15y = 35
+
10x + 16y = -4
------------------------
31y = 31
y = 1
Plug this back into one of the original equation:
5x + 8y = -2
5x + 8(1) = -2
5x + 8 = -2
5x = -10
x = -2
Now you have your answer:
y = 1
x = -2
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