Question

Solve this proportion pls


`(x + 3)/(4)` =
`(7)/(8)`

Answer 1

`\large\boxed{x=(1)/(2)=0.5}`

Explanation:

`(x+3)/(4)=(7)/(8)\qquad\text{cross multiply}\\\\8(x+3)=(4)(7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\8x+(8)(3)=28\\\\8x+24=28\qquad\text{subtract 24 from both sides}\\\\8x+24-24=28-24\\\\8x=4\qquad\text{divide both sides by 8}\\\\(8x)/(8)=(4)/(8)\\\\x=(4:4)/(8:4)\\\\x=(1)/(2)`

Answer 2

`\bf \cfrac{x+3}{4}=\cfrac{7}{8}\implies 8(x+3)=4(7)\implies 8x+24=28\implies 8x=4 \\\\\\ x=\cfrac{4}{8}\implies x=\cfrac{1}{2}`