Solving linear equations using multiplication and division

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  1. Solve the following equations.
    1. 97=3x - \frac{9}{7} = 3x
    2. x3=57\frac{x}{3} = \frac{5}{7}
    3. 314=112x3\frac{1}{4} = 1\frac{1}{2}x
    4. 65x=98 - \frac{6}{5}x = - \frac{9}{8}
  2. Solve.
    1. 0.25=x1.2 - 0.25 = \frac{x}{{ - 1.2}}
    2. 6.3=4.7x6.3 = - 4.7x
    3. 2.2x=6.6\frac{{2.2}}{x} = - 6.6
    4. 4.5x=8.14.5x = 8.1
  3. A laptop is on sale at 35% off. The sale price is $342.99 less than the original price. What is the sale price of the laptop?
    Topic Notes
    In the previous lessons, we have learned what a linear relationship is and its graphs and tables. In this lesson here, we will then learn how to solve one-step linear equations by multiplication and division.