Question

8x+8y=−29
−
3
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−
3
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=
12
−3x−3y=12

Answer 1

This equation is not true, so the system of equations has no solution.

Explanation:

The system of equations can be simplified by multiplying the second equation by -1:

-3x - 3y = 12 => 3x + 3y = -12

Now we have the system:

8x + 8y = -29

3x + 3y = -12

We can divide both sides of the second equation by 3 to obtain:

x + y = -4

We can use this equation to solve for one of the variables in terms of the other. For example, we can solve for y:

y = -4 - x

Substituting this into the first equation, we get:

8x + 8(-4 - x) = -29

Simplifying:

8x - 32 - 8x = -29

-32 = -29