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Math

QuestionIs the statement 2+7x=9x2 + 7x = 9x true or false? If false, correct it to make it true.

Studdy Solution

STEP 1

Assumptions1. The given statement is +7x=9x+7x=9x. . We are to determine if the statement is true or false.
3. If the statement is false, we are to make the necessary changes to make it true.

STEP 2

Let's simplify the left side of the equation.
2+7x2+7x

STEP 3

Now, let's simplify the right side of the equation.
9x9x

STEP 4

Now, let's compare both sides of the equation.
2+7x=9x2+7x =9x

STEP 5

Subtract 7x7x from both sides of the equation to isolate xx.
2+7x−7x=9x−7x2+7x-7x =9x-7x

STEP 6

implify both sides of the equation.
2=2x2 =2x

STEP 7

Divide both sides of the equation by2 to solve for xx.
22=2x2\frac{2}{2} = \frac{2x}{2}

STEP 8

implify both sides of the equation.
1=x1 = x

STEP 9

Now, let's substitute x=x= back into the original equation to check if it holds true.
2+7()=9()2+7() =9()

STEP 10

implify both sides of the equation.
2+7=92+7 =9

STEP 11

implify both sides of the equation.
9=99 =9The statement is false. The correct statement should be +7x=9+7x=9, not +7x=9x+7x=9x.

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