Question

solve.
5x - 10y = 15
4x - 3y = 17
(□, □)
submit

Explanation:

Step1: Simplify the first equation

Divide the first equation \(5x - 10y = 15\) by 5:
\(x - 2y = 3\), so \(x = 2y + 3\).

Step2: Substitute x into the second equation

Substitute \(x = 2y + 3\) into \(4x - 3y = 17\):
\(4(2y + 3) - 3y = 17\)
Expand the left side: \(8y + 12 - 3y = 17\)
Combine like terms: \(5y + 12 = 17\)
Subtract 12 from both sides: \(5y = 17 - 12 = 5\)
Divide by 5: \(y = \frac{5}{5} = 1\)

Step3: Find x using y

Substitute \(y = 1\) into \(x = 2y + 3\):
\(x = 2(1) + 3 = 2 + 3 = 5\)

Answer:

\((5, 1)\)