Solve by Substitution -11x-11y=-4092 , 10x+13y=4464

Problem

{[−11*x−11*y=−4092],[10*x+13*y=4464])

Solution

1. Simplify the first equation by dividing every term by −11 to isolate a variable.

−11*x−11*y=−4092

x+y=372

2. Isolate the variable x in the simplified equation.

x=372−y

3. Substitute the expression for x into the second equation.

10*(372−y)+13*y=4464

4. Distribute the constant and combine like terms to solve for y

3720−10*y+13*y=4464

3720+3*y=4464

3*y=744

y=248

5. Substitute the value of y back into the expression for x

x=372−248

x=124

Final Answer

(x,y)=(124,248)

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