Studdy AI Logo
Math  /  Algebra

Questionf5−2.2=−2.5\begin{array}{l}\frac{f}{5}-2.2=-2.5\end{array}

Studdy Solution

STEP 1

1. The equation f5−2.2=−2.5\frac{f}{5} - 2.2 = -2.5 is asking us to solve for ff.
2. This is a linear equation with one variable.
3. The equation involves basic algebraic operations, specifically addition and multiplication.

STEP 2

1. Isolate the term containing the variable ff.
2. Solve for the variable ff.
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing ff, we need to eliminate the constant term on the left side of the equation. Add 2.22.2 to both sides of the equation:
f5−2.2+2.2=−2.5+2.2\frac{f}{5} - 2.2 + 2.2 = -2.5 + 2.2
Simplify:
f5=−0.3\frac{f}{5} = -0.3

STEP 4

To solve for ff, multiply both sides of the equation by 55 to eliminate the fraction:
5×f5=5×(−0.3)5 \times \frac{f}{5} = 5 \times (-0.3)
Simplify:
f=−1.5f = -1.5

STEP 5

Check the solution by substituting f=−1.5f = -1.5 back into the original equation:
−1.55−2.2=−2.5\frac{-1.5}{5} - 2.2 = -2.5
Calculate the left side:
−0.3−2.2=−2.5-0.3 - 2.2 = -2.5
Both sides are equal, confirming the solution is correct.
The solution is:
−1.5\boxed{-1.5}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord