Question

An example of

Answer 1

Answer:

see the explanation

Step-by-step explanation:

An example of

Part 1) subtraction property of equality

we know that

The subtraction property of equality states that: if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same'

Example 1

we have

$x+2y=5$ ----> equation A

subtract 5 both sides

$x+2y-5=5-5$

$x+2y-5=0$ ----> equation B

so

equation A=equation B -----> by subtraction property of equality

Example 2

we have

$25=25$

subtract 5 both sides

$25-5=25-5$

$20=20$ ---> both sides remain equal by subtraction property of equality

Part 2) multiplication property of equality

we know that

The Multiplication Property of Equality states that: if you multiply both sides of an equation by the same number, the sides remain equal

Example 1

$\frac{2}{5} x+y=10$ ----> equation A

Multiply by 5 both sides

$2x+5y=50$ ----> equation B

so

equation A=equation B -----> by multiplication property of equality

Example 2

we have

$30=30$

Multiply by 4 both sides

$4(30)=4(30)$

$120=120$ ---> both sides remain equal by multiplication property of equality

Part 3) division property of equality

we know that

The Division Property of Equality states that: if you divide both sides of an equation by the same nonzero number, the sides remain equal

Example 1

$4x+6y=10$ ----> equation A

Divide by 2 both sides

$2x+3y=5$ ----> equation B

so

equation A=equation B -----> by division property of equality

Example 2

we have

$30=30$

Divide by 3 both sides

$30/3=30/3$

$10=10$ ---> both sides remain equal by division property of equality