Question

$4(2y - 3) + 5(3y - 4) = 14$
solve this equation and verify the solution

Answer 1

Here's the answer

$\bf{4(2y - 3) + 5(3y - 4) = 14}$

Opening the brackets..

$\bf{8y - 12 + 15y - 20 = 14}$

$\bf{8y + 15y - 12 - 20 = 14}$

$\bf{23y - 32 = 14}$

$\bf{23y = 14 + 32}$

$\bf{ 23y = 46}$

$\bf{y = 2}$

Thus

The value of y is 2.
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Verification :

Putting the value of y in the given Equation,

$\tt{4(2 \times (2) - 3) + 5(3 \times( 2) - 4) = 14}$

$\tt{4(4 - 3) + 5(6 - 4) = 14}$

$\tt{(4 \times 1) + (5 \times 2) = 14}$

$\tt{4 + 10 = 14} \\ \\ \tt{14 = 14}$

Thus,
Verified.

Hence

The value of y is 2.

Thanks!!