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Chapter 3: Q25. (page 133)

Write the verbal sentence as an equation. Then solve the equation.

Four minus 7 times a number is equal to 12 minus 3 times the number.

Short Answer

Expert verified

The required equation is 4-7x=12-3x and the solution is x=-2

Step by step solution

01

Step-1 – Given

Four minus 7 times a number is equal to 12 minus three times a number.

02

Step-2 – To determine

We have to write the equation by writing verbal sentence as equation. Then we solve the equation.

03

Step-3 – Calculation

Let the unknown number is x

So, four minus 7 times a number = 4-7x

12 minus three times a number = 12-3x

According to the question 4-7x=12-3x

Now we solve the equation,

4鈭�7x=12鈭�3xWritetheoriginalequation4鈭�7x+3x=12鈭�3x+3xAdd3xtobothsides4鈭�4x=12Simplify4鈭�12鈭�4x=12鈭�12Subtract12frombothsides鈭�8鈭�4x=0Simplify鈭�8鈭�4x+8=0+8Add8tobothside鈭�4x=8Simplify鈭�4x鈭�4=8鈭�4Divideeachside鈭�4x=鈭�2Simplify

Therefore, the solution of the equation 4-7x=12-3x is x=-2

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