Question

Which properties can be used to solve 7y − 15 = −29? Select all that apply.

Answer 1

`\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}`

Explanation:

`\sf 7y-15=-29`

Using the additive property of equality, we add 15 to both sides of the equation.

`\sf 7y-15+15=-29+15`

`\sf 7y=-14`

Using the inverse property of multiplication, we divide both sides of the equation by 7.

`\displaystyle \sf (7y)/(7) =(-14)/(7)`

`\sf y = -2`

Answer 2

addition property of equality

inverse property of multiplication

Explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2