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: \(\begin{cases} y=3x \\ x=\text2y+70 \\ \end{cases}\)
Problem 3
Which equation, together with \(y=\text1.5x+3\), makes a system with one solution?
A:
\(y=\text1.5x+6\)
B:
\(y=\text1.5x\)
C:
\(2y=\text3x+6\)
D:
\(2y+3x=6\)
E:
\(y=\text2x+3\)
Problem 4
The system \(x6y=4\), \(3x18y=4\) has no solution.

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

Change one constant or coefficient to make a new system with an infinite number of solutions.
Problem 5
Match each graph to its equation.
 \(y=2x+3\)
 \(y=\text2x+3\)
 \(y=2x3\)
 \(y=\text2x3\)
Problem 6
Here are two points: \((\text3,4)\), \((1,7)\). What is the slope of the line between them?
A:
\(\frac43\)
B:
\(\frac34\)
C:
\(\frac16\)
D:
(From Unit 3, Lesson 10.)
\(\frac23\)