Question

solve this system of equations by graphing. first graph the equations, and then type the solution.
\\( y = \frac{5}{3}x + 5 \\)
\\( y = -x - 3 \\)
click to select points on the graph.

Explanation:

Step1: Find intersection by solving equations

Set the two equations equal: $\frac{5}{3}x + 5 = -x - 3$.
Multiply through by 3 to eliminate fraction: $5x + 15 = -3x - 9$.
Add $3x$ to both sides: $8x + 15 = -9$.
Subtract 15: $8x = -24$.
Divide by 8: $x = -3$.

Step2: Find y - value

Substitute $x = -3$ into $y = -x - 3$: $y = -(-3) - 3 = 3 - 3 = 0$.

Answer:

The solution is $(-3, 0)$