y=7(15+x)

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

Solve `y = 7(15 + x)` for x.

Divide both sides by 7.

`y/7 = (7(15+x))/7`

`y/7 = 15 + x`

Now subtract 15 from each side.

`y/7 - 15 = 15-15 + x`

`y/7 - 15 = x`

The solution is x = `y/7 - 15.`

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flbyrne | (Level 3) Assistant Educator

Posted on

Apply the Golden Rule of Algebra: "What is done to one side must be done to the other side.

Divide both sides by 7.

`y/7=15+x`

Subtract 15 from both sides

`y/7-15=x`

Apply the symmetric property of equality.

`x=y/7-15`

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malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

y = 7( 15 + x )

To simplify this we need to first shift 7 on the left hand side,

y = 7( 15 + x )

y/7 = [7(15 + x)]/7

y/7 = 15 + x

y/7 - x = 15 + x - x               subtract x from both sides

y/7 - x = 15

y/7 - x - y/7 = 15 - y/7           subtract y/7 from both sides

-x = 15 - y/7

x = y/7 - 15 Answer.

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

 `y=7(15+x)`

distribute the 7 to the numbers in the parentheses

`y=7(15+x)`
 
`y=105+7x`
 
subtract 105 as we are trying to get x by itself
 
`y-105=7x`
 
now divide by 7
 
`y/7 - (105)/7 = (7x)/7`
 
`x= y/7 -15`

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