Question

The x-axis ranges from negative 10 to 10 in increments of 1. The y-axis ranges from negative 10 to 10 in increments of 1. The dotted line is labeled y equals negative x plus 4. It passes through the approximate points left parenthesis 0 comma 4 right parenthesis, left parenthesis negative 3.5 comma 7.5 right parenthesis, and left parenthesis negative 5.5 comma 9.5 right parenthesis. The solid line is labeled negative 3 times x minus y equals 3. It passes through the approximate points left parenthesis 0 comma negative 3 right parenthesis, left parenthesis negative 3.5 comma 7.5 right parenthesis, and left parenthesis negative 3.5 comma 8 right parenthesis.
What is the best approximate solution to the system of equations graphed?
(1 point)
(-3, 7)
(3.5, 7.5)
(3, 7)
(-3.5, 7.5)

Answer 1

(-3.5, 7.5)

Solve y = -x + 4 and -3x - y = 3: substituting gives -3x - (-x+4) = 3 → -2x = 7 → x = -3.5, y = 7.5.