Lesson 13
Solving Systems of Equations
Problem 1
-
Write equations for the lines shown.
-
Describe how to find the solution to the corresponding system by looking at the graph.
-
Describe how to find the solution to the corresponding system by using the equations.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
The solution to a system of equations is \((5, \text-19)\). Choose two equations that might make up the system.
\(y = \text-3x - 6\)
\(y = 2x - 23\)
\(y = \text-7x + 16\)
\(y = x -17\)
\(y = \text-2x - 9\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
Solve the system of equations: \(\begin{cases} y=4x-3 \\ y=\text-2x+9 \\ \end{cases}\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
Solve the system of equations: \(\begin{cases} y=\frac54x-2 \\ y= \frac {\text{-}1}{4}x+19 \\ \end{cases}\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 5
Here is an equation: \(\frac{15(x-3)}{5}= 3(2x-3)\)
- Solve the equation by using the distributive property first.
- Solve the equation without using the distributive property.
- Check your solution.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 4, Lesson 6.)