Problem

$\begin{array}{l}10 y+7 x=36 \\ y=2 x+9\end{array}$

Answer

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Answer

\(\boxed{x = -2, y = 5}\)

Steps

Step 1 ：Substitute the expression for y from the second equation into the first equation: \(7x + 10(2x + 9) = 36\)

Step 2 ：Simplify the equation: \(7x + 20x + 90 = 36\)

Step 3 ：Combine like terms: \(27x + 90 = 36\)

Step 4 ：Subtract 90 from both sides: \(27x = -54\)

Step 5 ：Divide both sides by 27: \(x = -2\)

Step 6 ：Substitute the value of x back into the second equation: \(y = 2(-2) + 9\)

Step 7 ：Simplify the equation: \(y = -4 + 9\)

Step 8 ：Find the value of y: \(y = 5\)

Step 9 ：\(\boxed{x = -2, y = 5}\)

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