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Chapter 3: Q8. (page 157)

Solve the equation. Check your solution.

6(w – 4) + 18 = 30

Short Answer

Expert verified

The solution is w = 6.

Step by step solution

01

Step 1.Given

The given equation is: 6w-4+18=30

02

Step 2.To determine

We have to solve the equation6w-4+18=30 and check the solution.

03

Step 3. Calculation

The given equation is:

6w−4+18=30(Writeoriginalequation)6w−24+18=30(Usedistributiveproperty)6w−6=30(Simplify)6w−6+6=30+6(Add6toeachsides)6w=36(Simplify)6w6=366(Dividebothsidesby6)w=6(Simplify)

To check we will substitute \[w=6\] in left-hand-side of the equation. If the left-hand-side is equal to the right-hand-side then the solution will be correct.

6w−4+1866−4+18(Substitutew=6)30(Simplify)

We see that, both sides are equal.

This means, the solution is w=6.

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