Solve the linear equations 4x-3y=16 and x+y=-3

4x - 3y = 16

x + y = -3

Subtract y from both sides of the 2nd equation.

x = -3 - y

Now that we have a value of x, we can plug it into the first equation to solve for y.

4(-3 - y) - 3y = 16

Distributive property.

-12 - 4y - 3y = 16

Combine like terms.

-12 - 7y = 16

Add 12 to both sides.

-7y = 28

Divide both sides by -7.

y = -4

The value of y is -4, and now we can solve for the value of x.

Plug this value into either equation.

x + (-4) = -3

Add 4 to both sides.

x = 1

The value of x is 1.

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