# Lesson 14

Solving More Systems

Let’s solve systems of equations.

### Problem 1

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

### Problem 2

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

### Problem 3

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

A:

$$y=\text-1.5x+6$$

B:

$$y=\text-1.5x$$

C:

$$2y=\text-3x+6$$

D:

$$2y+3x=6$$

E:

$$y=\text-2x+3$$

### Problem 4

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.

### Problem 5

Match each graph to its equation.

1. $$y=2x+3$$
2. $$y=\text-2x+3$$
3. $$y=2x-3$$
4. $$y=\text-2x-3$$
(From Unit 3, Lesson 11.)

### Problem 6

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

A:

$$\frac43$$

B:

$$\frac34$$

C:

$$\frac16$$

D:

$$\frac23$$

(From Unit 3, Lesson 10.)