Unit 5, Lesson 16
Solving More Systems
Accelerated 7
Practice
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?
\(y=\text-1.5x+6\)
\(y=\text-1.5x\)
\(2y=\text-3x+6\)
\(2y+3x=6\)
\(y=\text-2x+3\)
Problem 4
The system \(x-6y=4\), \(3x-18y=4\) 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
Here are two points: \((\text-3,4)\), \((1,7)\). What is the slope of the line between them?
\(\frac43\)
\(\frac34\)
\(\frac16\)
\(\frac23\)