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CTET Paper II (Mathematics and Science) 29 Dec 2021 Solved Paper

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Question : 50 of 150

Marks: +1, -0

If 10(x + 6) + 8(x - 3) = 5(5x - 4),

then what is the value of

\frac{5x+2}{6}

?

2
$\frac{7}{6}$
$\frac{11}{3}$
7

Solution:

Concept:

Solve a linear equation by expanding brackets and isolating the variable.

Explanation:

Expand both sides:

10x + 60 + 8x - 24 = 25x - 20

.

Combine like terms:

18x + 36 = 25x - 20

.

Bring terms with

x

to one side and constants to the other:

36 + 20 = 25x - 18x

.

Simplify:

56 = 7x

, so

x = 8

.

Now compute

\frac{5x+2}{6} = \frac{5(8)+2}{6} = \frac{40+2}{6} = \frac{42}{6} = 7

.

Answer:

D. 7

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