Lesson 14
Solving More Systems
Problem 1
Solve: \(\begin{cases} y=6x \\ 4x+y=7 \\ \end{cases}\)
Solution
For access, consult one of our IM Certified Partners.
Problem 2
Solve: \(\begin{cases} y=3x \\ x=\text2y+70 \\ \end{cases}\)
Solution
For access, consult one of our IM Certified Partners.
Problem 3
Which equation, together with \(y=\text1.5x+3\), makes a system with one solution?
\(y=\text1.5x+6\)
\(y=\text1.5x\)
\(2y=\text3x+6\)
\(2y+3x=6\)
\(y=\text2x+3\)
Solution
For access, consult one of our IM Certified Partners.
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.
Solution
For access, consult one of our IM Certified Partners.
Problem 5
Match each graph to its equation.
 \(y=2x+3\)
 \(y=\text2x+3\)
 \(y=2x3\)
 \(y=\text2x3\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 3, Lesson 11.)Problem 6
Here are two points: \((\text3,4)\), \((1,7)\). What is the slope of the line between them?
\(\frac43\)
\(\frac34\)
\(\frac16\)
\(\frac23\)
Solution
For access, consult one of our IM Certified Partners.
(From Unit 3, Lesson 10.)