Question

Which shows the correct solution of the equation 1/2 a + 2/3b = 50 when b=30

Answer 1

Step-by-step explanation:

this is the final answer

Answer 2

ANSWER:  

The solution of given equation 1/2 a + 2/3b = 50 when b=30 is (60, 30)

SOLUTION:

Given, linear equation is  $\frac{1}{2} a+\frac{2}{3} b=50$

We need to find the solution of the given equation.

We also have b value as 30. So, now we have to find the value of a by substituting b value in given equation.

Then, the value pair of a and b is the solution of the given line equation.

$\text { Now, } \frac{1}{2} a+\frac{2}{3}(30)=50$

$\begin{array}{l}{\frac{1}{2} a+2 \times 10=50} \\\\ {\frac{1}{2} a+20=50} \\\\ {\frac{1}{2} a=50-20}\end{array}$

$\begin{array}{l}{\frac{1}{2} a=30} \\ {a=2 \times 30=60}\end{array}$

so, the pair of a and b is (60, 30)

hence, the solution of given equation is (60, 30).