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Solve the system of equations 4, x, minus, 7, y, equals, minus, 44x−7y=−4 and x, minus, y, equals, minus, 4x−y=−4 by combining the equations.
Below, two sets of the two equations are shown. The first set has input boxes in front of each equation to put a number to multiply it by. When you enter a number, the corresponding equation below changes to be the result of the multiplication. Under the second set, a resulting equation is shown with input boxes for the coefficients and constant. Then, there is a "try" button. When you press the try button, if your answer is correct, it will be placed on the page and a new question will appear with a new input box. This process will continue until the final answer area appears with the submit button.
left parenthesis, 4, x(4x minus, 7, y−7y equals= minus, 4, right parenthesis−4)
left parenthesis, x(x minus, y−y equals= minus, 4, right parenthesis−4)
4, x4x minus, 7, y−7y equals= minus, 4−4
xx minus, y−y equals= minus, 4−4
0
0xx plus+
0
0yy equals=
Answer
Attempt 1 out of 2

Answer 1

4x - 7y = -4

x - y = -4

To combine the equations, we can multiply the second equation by 4:

4(x - y) = 4(-4)
4x - 4y = -16

Now we have a system of equations:

4x - 7y = -4
4x - 4y = -16

Subtract the second equation from the first equation to eliminate x:

-3y = 12
y = -4

Now substitute y back into one of the equations to solve for x:

4x - 7(-4) = -4
4x + 28 = -4
4x = -32
x = -8

Therefore, the solution to the system of equations is x = -8, y = -4.