Question

is (-6, 4) a solution to this system of equations?
y = -3x - 14
y = x + 10

yes
no

Explanation:

Step1: Check first equation

Substitute \( x = -6 \), \( y = 4 \) into \( y = -3x - 14 \).
Right - hand side: \( -3\times(-6)-14 = 18 - 14=4 \).
Left - hand side: \( y = 4 \). So it satisfies the first equation.

Step2: Check second equation

Substitute \( x=-6 \), \( y = 4 \) into \( y=x + 10 \).
Right - hand side: \( -6+10 = 4 \).
Left - hand side: \( y = 4 \). So it satisfies the second equation.

Answer:

yes