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.

x = 1y = - 4