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solve. -x + 5y = 11 3x + y = 15 (\\boxed{ }, \\boxed{ }) submit

Question

solve.
-x + 5y = 11
3x + y = 15
(\boxed{ }, \boxed{ })
submit

Explanation:

Step1: Solve the second equation for y

From \(3x + y = 15\), we can express \(y\) as \(y = 15 - 3x\).

Step2: Substitute y into the first equation

Substitute \(y = 15 - 3x\) into \(-x + 5y = 11\):

$$ LATEXBLOCK0 $$

Step3: Solve for x

Divide both sides by \(-16\):

$$ x=\frac{-64}{-16}=4 $$

Step4: Substitute x back to find y

Substitute \(x = 4\) into \(y = 15 - 3x\):

$$ y = 15 - 3\times4 = 15 - 12 = 3 $$

Answer:

\((4, 3)\)