Solve the system of equations by using ELIMINATION…show your work
-4x + 6y = 34
2x - 6y = - 32
To solve this system of equations by elimination, we can add the two equations together to eliminate the term containing y.
-4x + 6y = 34
+ 2x - 6y = -32
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-2x = 2
Divide by -2:
x = -1
Now substitute this value of x back into one of the original equations to solve for y. Using the first equation:
-4(-1) + 6y = 34
4 + 6y = 34
6y = 30
y = 5
Therefore, the solution to the system of equations is x = -1 and y = 5.