Prove that x = 50 in the following equation: 1/5x – 5 = 5
Write the equation:
1/5x – 5 = 5
Add 5 to both sides:
1/5x – 5 + 5 = 5 + 5
1/5x = 10
Multiply each side by 5:
5 × 1/5x = 10 × 5
–5 + 5 cancels out, leaving you with:
1x = 10 × 5
1x = 50
Divide both sides by 1 to get x:
1x/1 = 50/1
The 1 cancels out:
x = 50/1
Answer:
x = 50 ✔
Check your work by plugging in 50 as x:
1/5x – 5 = 5
1/5 × 50 – 5 = 5
Multiply:
1/5 × 50/1 – 5 = 5
50/5 – 5 = 5
Get rid of the fraction by dividing:
50 ÷ 5 = 10
10 – 5 = 5
Subtract:
10 – 5 = 5
5 = 5 ✔
I have just proven that x = 50 because the answer I got when I checked my work was balanced. Hope that helps! Have an amazing rest of your day! :)