Solving two-step linear equations using multiplication and division: x/a + b = c

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Now Playing:Solve linear equations using multiplication and division – Example 1a

Find x in the equation modelled by each diagram.
Solve.
1. $3 + \frac{x}{4} = 51$
2. $17 = 10 + \frac{x}{{ - 2}}$
3. $\frac{x}{{ - 6}} - 21 = - 9$
4. $- 1 = 23 + \frac{x}{8}$
The amount of time needed for an ice cube to melt when the temperature is between 10 °C to 30 °C can be expressed by the equation $t = 16 - \frac{C}{2}$ , where t is the amount of time for the ice cube to melt in minute; and C is the temperature in degree Celsius.
1. Will the ice melt in 10 minutes if the temperature is 10 °C?
2. What was the lowest temperature for the ice cube to melt in 5 minutes?

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.body-katex a { word-break: break-word; } Patterns Jump to: Notes Prerequisites Related Notes Continue from the previous section, we will solve linear equations in diagram, equation, and word problems forms. However, in addition to subtraction and addition, we will teach you how to solve linear equations that also involve multiplications and divisions. Prerequisites Dividing integers Model and solve one-step linear equations: ax = b, x/a = b Solving two-step linear equations using addition and subtraction: ax + b = c Related Solving linear equations using multiplication and division Solving two-step linear equations: ax + b = c, x/a + b = c Solving linear equations using distributive property: a(x + b) = c Solving linear equations with variables on both sides

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