Question

Please help and show step by step explanation

Answer 1

1.
`x=3`

2.
`x=3`

3.
`x=2`

4.
`p=2`

5.
`y=12`

6.
`m=3`

Explanation:

1.
`2x+4=10`

Subtract 4

`2x=10-4\\2x=6\\`

Divide by 2.

`x=(6)/(2) \\x=3`

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2.
`3x+15=24`

Subtract 15

`3x=24-15\\3x=9`

Divide by 3.

`x=(9)/(3)\\ x=3`

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From now on, I'll proceed to do the same.

3.
`4x+5=13`

`4x=13-5\\4x=8\\x=(8)/(4)\\ x=2`

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4.
`-5p+8=-2`

`-5p=-2-8\\-5p=-10\\p=(-10)/(-5)\\ p=2`

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5.
`2+(2)/(3)y=10`

`(2)/(3)y=10-2\\(2)/(3)y=8`

Multiply by the reciprocal of 2/3

`((3)/(2))((2)/(3))y=8 ((3)/(2))`

`y=12`

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6.
`13=1+4m`

`13-1=4m\\12=4m\\(12)/(4)=m`

`3=m`

Answer 2

1.x=3 2.x=3 3.x=2 4. p=2

5. y=12 6.m=3

Explanation:

1. 2x+4 = 10.

2x= 10 - 4

2x = 6

x=3

2.3x+15 = 24

3x=24-15

3x=9

x=3

3.4x+5 = 13

4x=13-5

4x=8

x=2

4.-5p+8=-2

-5p=-10

10=5p

2=p

5. 2+2/3y=10

2/3y=8

2y=8x3

2y=24

y=12

6.13=1+4m

13-1=4m

12=4m

m=3