Lesson 14 Introduction Solutions of Linear Equations
Use What You Know
You've learned how to solve linear equations and how to check your solution. In this
lesson, you'll learn that not every linear equation has just one solution. Take a look
at this problem.
Jason and his friend Amy are arguing. Jason says that a linear equation always has just one
solution. Amy says that some linear equations have more than one solution. Who's right?
Amy asked Jason to explore solutions to the following equation
2x + 1 + x = 3x - 2)+7
Use the math you already know to solve this problem.
Remember that a solution to an equation is a number that makes the equation true.
To check to see if a number is a solution to this equation, replace x with its value.
a. Is 6 a solution to the equation? Show your work
b. Is -2 a solution to the equation? Show your work. 2X
c. Is 0 a solution to the equation? Show your work.