What is the solution to this system of equations? -3x+5y=-2 3x+7y=26
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Answer:
solution is (4,2)
Step-by-step explanation:
[tex]-3x+5y=-2[/tex]
[tex]3x+7y=26[/tex]
To solve for x and y , we use elimination method.
we add both equations.
[tex]-3x+5y=-2[/tex]
[tex]3x+7y=26[/tex]
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[tex]12y=24[/tex]
Divide both sides by 12
y=2
Now we find out x
[tex]-3x+5y=-2[/tex]
[tex]-3x+5(2)=-2[/tex]
[tex]-3x+10=-2[/tex]
Subtract 10 from both sides
[tex]-3x=-12[/tex]
Divide by -3 on both sides
x=4
So, solution is (4,2)