the tables represent two linear functions in a system.\nwhat is the solution to this system?\n(1, 0)\n(1…

Explanation:

Step 1: Determine the first linear function

Using points (-4, 26) and (0, 10), slope ( m_1 = \frac{10 - 26}{0 - (-4)} = -4 ).
Intercept ( b_1 = 10 ) (when ( x = 0 )).
Equation: ( y = -4x + 10 ).

Step 2: Determine the second linear function

Using points (-4, 14) and (0, 2), slope ( m_2 = \frac{2 - 14}{0 - (-4)} = -3 ).
Intercept ( b_2 = 2 ) (when ( x = 0 )).
Equation: ( y = -3x + 2 ).

Step 3: Solve the system of equations

Set ( -4x + 10 = -3x + 2 ).
Solve for ( x ): ( -x = -8 \Rightarrow x = 8 ).
Substitute ( x = 8 ) into ( y = -3x + 2 ): ( y = -3(8) + 2 = -22 ).

Answer:

D. (8, -22)