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») If 5y = 25, which property of equality was used to

keep the equation 5y - 7 = 25 - 7 equal?

») Convince Me!

What other properties of equality could you apply to

keep the equation 5y = 25 equal? Give an example of

each.

Sagot :

MrRoyalidn

Answer:

a. Subtraction property

b. Addition property and Multiplication property

Step-by-step explanation:

Given

[tex]5y = 25[/tex]

Solving (a): Which property is applied to [tex]5y-7 = 25-7[/tex]

The property applied is the subtraction property of inequality, and it states that:

If [tex]a = b[/tex]

Then

[tex]a - x = b - x[/tex]

So, in this case:

[tex]a = 5y, b = 25\ and\ x=7[/tex]

Solving (b): Other properties

1. The additive property of equality

If [tex]a = b[/tex]

Then

[tex]a + x = b + x[/tex]

So, the expression can be written as:

[tex]5y + 12 = 25 + 12[/tex]

When 12 is subtracted from both sides, the equation returns to the original

i.e.

[tex]5y + 12 - 12 = 25 + 12 - 12[/tex]

[tex]5y = 25[/tex]

2. The multiplication property of equality

If [tex]a = b[/tex]

Then

[tex]a * x = b * x[/tex]

So, the expression can be written as:

[tex]5y* 2 = 25 * 2[/tex]

[tex]10y = 50[/tex]

When both sides are divided by 2, the equation returns to the original

i.e.

[tex]\frac{10y}{2} = \frac{50}{2}[/tex]

[tex]5y = 25[/tex]

Mariamadiattaidn

Answer:

I Have the same question

Step-by-step explanation:

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