Question

the solution of the equation 2/3 x + 1 = 15/9
choose the correct option
a- 1
b- 3/2
c- 2
d- 2/3
which one is the correct option​

Answer 1

Answer:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement. For the first example, the solution for x is 13. The second example has two values that will make the statement true, namely 2 and –2.

Step-by-step explanation:

Answer 2

• Option (a) is correct answer.

Given,

$\rm{}p(x) = \frac{2}{3}x + 1 = \frac{15}{9}$

Equating p(x) with zero,

$\bf{}p(x) =0 \\ \\ \tt \to \frac{2}{3} x + 1 = \frac{15}{9} \\ \\ \to \tt \: \: \: \: \: \: \: \: \frac{2}{3} x = \frac{15}{9} - 1 = \frac{15 - 9}{9} \\ \\ \tt \to \: \: \: \: \: \: \: \: \frac{2}{3} x = \frac{6}{9} \\ \\ \tt \to \: \: \: \: \: \: \: \: \: \: x = \frac{6}{9} \div \frac{2}{3} \\ \\ \tt \to \: \: \: \: \: \: \: \: \: \: x = \frac{6}{9} \times \frac{3}{2} = \cancel{\frac{18}{18} } = \red{1}$

Hence,

• Solution of (2/3)x + 1 = 15/9 is 1