Question

Help me with this equation from hw step by step please

Answer 1

b1 = (2A/h) - b2

Step-by-step explanation:

The initial equation is:

`A=(1)/(2)h(b_1+b_2)`

To solve for b1, multiply both sides by 2

`\begin{gathered} 2\cdot A=2\cdot(1)/(2)h(b_1+b_2) \\ 2A=h(b_1+b_2) \end{gathered}`

Then divide both sides by h to get:

`\begin{gathered} (2A)/(h)=(h(b_1+b_2))/(h) \\ (2A)/(h)=b_1+b_2 \end{gathered}`

Now, subtract b2 from both sides:

`\begin{gathered} (2A)/(h)-b_2=b_1+b_2-b_2 \\ (2A)/(h)-b_2=b_1 \end{gathered}`

Therefore, the solution is:

`b_1=(2A)/(h)-b_2`