Lesson 15

Solve: \(\begin{cases} y=6x \\ 4x+y=7 \\ \end{cases}\)

Solve: \(\begin{cases} y=3x \\ x=\text-2y+70 \\ \end{cases}\)

Which equation, together with \(y=\text-1.5x+3\), makes a system with one solution?

\(y=\text-1.5x+6\)

\(y=\text-1.5x\)

\(2y=\text-3x+6\)

\(2y+3x=6\)

\(y=\text-2x+3\)

The system \(x-6y=4\), \(3x-18y=4\) has no solution.

1. Change one constant or coefficient to make a new system with one solution.

2. Change one constant or coefficient to make a new system with an infinite number of solutions.

Match each graph to its equation.

1. \(y=2x+3\)
2. \(y=\text-2x+3\)
3. \(y=2x-3\)
4. \(y=\text-2x-3\)

Here are two points: \((\text-3,4)\), \((1,7)\). What is the slope of the line between them?

\(\frac43\)

\(\frac34\)

\(\frac16\)

\(\frac23\)