Question

is (-5, -5) a solution to this system of equations?
11x - 9y = -10
3x + 4y = 26
yes no

Explanation:

Step1: Substitute \( x = -5 \), \( y = -5 \) into the first equation \( 11x - 9y = -10 \)

Substitute the values: \( 11\times(-5) - 9\times(-5) \)
Calculate: \( -55 + 45 = -10 \)
The left - hand side equals the right - hand side (\(-10=-10\)) for the first equation.

Step2: Substitute \( x = -5 \), \( y = -5 \) into the second equation \( 3x + 4y = 26 \)

Substitute the values: \( 3\times(-5)+4\times(-5) \)
Calculate: \( -15-20=-35\)
Since \(-35
eq26\), the ordered pair \((-5,-5)\) does not satisfy the second equation.

Answer:

no