Question

Solve for u. 7/6=u+4/8 Simply the answer.

Answer 1

Answer:

plz mark brainliest

Step-by-step explanation:

16/3 or 5 1/3

Answer 2

Answer:

$u=\frac{16}{3}$

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define

$\frac{7}{6} =\frac{u+4}{8}$

Step 2: Solve for u

1. Cross-multiply:                    $7(8)=6(u+4)$
2. Multiply:                               $56=6(u+4)$
3. Distribute 6:                        $56=6u+24$
4. Isolate u term:                     $32=6u$
5. Isolate u:                              $\frac{32}{6} =u$
6. Simplify:                               $\frac{16}{3} =u$
7. Rewrite:                               $u=\frac{16}{3}$

Step 3: Check

Plug in u into the original equation to verify it's a solution.

1. Substitute in u:                    $\frac{7}{6} =\frac{\frac{16}{3} +4}{8}$
2. Add:                                     $\frac{7}{6} =\frac{\frac{28}{3}}{8}$
3. Divide:                                 $\frac{7}{6} =\frac{7}{6}$

Here we see that 7/6 does indeed equal 7/6.

∴ $u=\frac{16}{3}$ is a solution of the equation.