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Q3.

Expert-verified
Found in: Page 6

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Evaluate the experssion when $x=6\text{and}y=12$localid="1647946592098" $y-x$

The value of the expression is $6$.

See the step by step solution

## Step 1. Apply the concept of addition and subtraction.

Two numbers with similar signs get added and the resulting number carries the similar sign.

Two numbers with opposite signs get subtracted and the resulting number carries the sign of the larger number.

## Step 2. For example addition and subtraction.

If two positive numbers 2 and 3 are being added, then the resulting sum will be $2+3=5$, which is positive as well.

And if two negative numbers $-2$ and $-3$ are being added, then the resulting sum will be $\left(-2\right)+\left(-3\right)=-5$, which is negative as well.

The difference of the numbers $7-3=4$ is positive because the larger number is positive as well.

And the difference of the numbers $3-7=-4$is negative because the larger number is negative as well.

## Step 3. Evaluate the expression.

To evaluate the expression $y-x$, substitute the value of x as 6 and substitute the value of y as 12 and subtract the numbers as shown below,

$\begin{array}{l}\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}y-x\\ =12-6\\ =6\end{array}$

Thus, the value of the expression is $6$.