Question

Solve each equation. Check your solutions. x /2 = x + 1/4

Answer 1

⊂ Hey, ausemkattom2559 ⊃

Answer:

x = 1

Explanation:

• Given:

Solve each equation.

Check your solutions.

x /2 = x + 1/4

• Solving:

From the given:
`(x)/(2)=(x+1)/(4)`

Applying fraction cross multiply:
`\mathrm{if\;(a)/(b)=(c)/(d)\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}`

`x\cdot \:4=2\left(x+1\right)`

Distribute:

`x\cdot \:4=2x+2`

Subtract 2x from both sides:

`x\cdot \:4-2x=2x+2-2x`

`2x=2`

Divide both sides by 2:

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

x = 1

As a result, x = 1

• Check Answer:

We can substitute to check our solution:

1/2 = 1 + 1/4

1/2 = 1/2

Hence, x = 1

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9/12/2022