Question

solve this system of equations by graphing. first graph the equations, and then type the solution.
y = -x + 7
y = 3x + 3
click to select points on the graph.
the solution is ( , ).

Explanation:

Step1: Set the two equations equal

Since both equal \(y\), we set \(-x + 7=3x+3\).

Step2: Solve for \(x\)

Add \(x\) to both sides: \(7 = 4x+3\). Then subtract 3 from both sides: \(4=4x\). Divide both sides by 4, we get \(x = 1\).

Step3: Find \(y\) - value

Substitute \(x = 1\) into \(y=-x + 7\), then \(y=-1 + 7=6\).

Answer:

\((1,6)\)