Question

is (10, 8) a solution to this system of equations?
10x - 15y = -20
14x - 19y = -12
yes
no

Explanation:

Step1: Check first equation

Substitute \(x = 10\), \(y = 8\) into \(10x - 15y=-20\).
Left side: \(10\times10 - 15\times8 = 100 - 120=-20\), which equals the right side.

Step2: Check second equation

Substitute \(x = 10\), \(y = 8\) into \(14x - 19y=-12\).
Left side: \(14\times10 - 19\times8 = 140 - 152=-12\), which equals the right side.
Since \((10, 8)\) satisfies both equations, it is a solution.

Answer:

yes