⊂ Hey, ausemkattom2559 ⊃
Answer:
x = 1
Step-by-step explanation:
Solve each equation.
Check your solutions.
x /2 = x + 1/4
From the given: [tex]\frac{x}{2}=\frac{x+1}{4}[/tex]
Applying fraction cross multiply: [tex]\mathrm{if\;\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c}[/tex]
[tex]x\cdot \:4=2\left(x+1\right)[/tex]
Distribute:
[tex]x\cdot \:4=2x+2[/tex]
Subtract 2x from both sides:
[tex]x\cdot \:4-2x=2x+2-2x[/tex]
[tex]2x=2[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{2}{2}[/tex]
x = 1
As a result, x = 1
We can substitute to check our solution:
1/2 = 1 + 1/4
1/2 = 1/2
Hence, x = 1
xcookiex12
9/12/2022
