Question

question 7 of 10
what is the solution to the system of equations graphed below?
( y = 4x + 11 )
( y = -2x - 1 )
text description for graph
a. ( (-3, -1) )
b. ( (-2, 3) )
c. ( (0, -1) )
d. ( (-3, 2) )

Explanation:

Step1: Set equations equal

Since \( y = 4x + 11 \) and \( y = -2x - 1 \), set \( 4x + 11 = -2x - 1 \).

Step2: Solve for x

Add \( 2x \) to both sides: \( 6x + 11 = -1 \). Subtract 11: \( 6x = -12 \). Divide by 6: \( x = -2 \).

Step3: Find y

Substitute \( x = -2 \) into \( y = -2x - 1 \): \( y = -2(-2) - 1 = 4 - 1 = 3 \).

Answer:

B. (-2, 3)