Question

solve.
$5x - 5y = -5$
$-9x + 10y = 5$
$\left(\square,\square\
ight)$

Explanation:

Step1: Simplify the first equation

Divide the first equation \(5x - 5y=-5\) by 5, we get \(x - y=-1\), which can be rewritten as \(x=y - 1\).

Step2: Substitute \(x\) into the second equation

Substitute \(x = y-1\) into the second equation \(-9x + 10y = 5\), we have \(-9(y - 1)+10y=5\).
Expand the left - hand side: \(-9y+9 + 10y=5\).
Combine like terms: \(y+9 = 5\).
Subtract 9 from both sides: \(y=5 - 9=-4\).

Step3: Find the value of \(x\)

Substitute \(y=-4\) into \(x=y - 1\), we get \(x=-4 - 1=-5\).

Answer:

\((-5,-4)\)