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The solution is
or
.
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The Deep Dive
To solve the system of equations, we can use the method of substitution or elimination. First, let’s use the elimination method. We have the following equations:
We can add both equations to eliminate
. Adding both equations gives us:
Combining like terms results in:
Now, solving for
, we get:
Now, substitute
back into either of the original equations to find
. We’ll use the first equation:
Subtract 21.6 from both sides:
Now, divide by -3:
So the solution to the system of equations is
and
.