Question

solve the following system of equations graphically on the set of axes below.
$y = -x + 3$
$y = \frac{1}{3}x + 7$
plot two lines by clicking the graph.
click a line to delete it.
graph of coordinate plane with two lines partially plotted
answer attempt a out of
solution: text box submit answer button

Explanation:

Step1: Set the equations equal

Since both equal \( y \), set \( -x + 3=\frac{1}{3}x + 7 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 3=\frac{4}{3}x + 7 \).
Subtract 7: \( -4=\frac{4}{3}x \).
Multiply by \( \frac{3}{4} \): \( x=-3 \).

Step3: Find \( y \)

Substitute \( x = -3 \) into \( y=-x + 3 \): \( y=-(-3)+3 = 6 \).

Answer:

The solution is \( (-3, 6) \)