Question

Solve for x1/2 × = 5×+ 11 = 3× - 3 = - 82× - 1 = 19

Answer 1

Given:

`(1)/(2)x=5,x+11=3.x-3=-8,\text{ and }2x-1=19.`

Required:

We need to find the value for x.

Step-by-step explanation:

1)

`(1)/(2)x=5`

Multiply both sides of the equation by 2.

`2*(1)/(2)x=2*5`

Cancel out the common multiple 2 on the left-hand side of the equation and multiply 2 and 5 on the right-hand side of the equation.

`x=10`

2)

`x+11=3`

Subtract 11 from both sides of the equation.

`x+11-11=3-11`
`x+0=-8`
`x=-8`

3)

`x-3=-8`

Add 3 on both sides of the equation.

`x-3+3=-8+3`
`x+0=-5`
`x=-5`

4)

`2x-1=19`

Add 1 on both sides of the equation.

`2x-1+1=19+1`
`2x+0=20`
`2x=20`

Divide both sides of the equation by 2.

`(2x)/(2)=(20)/(2)`

Cancel out the common multiple 2.

`x=10`

Final answer:

1) x=10

2) x=-8

3) x=-5

4) x =10