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Solve by substitution: $2 x + 5 y = 16$ and $3 x = 2 y + 5$ . Find $x$ .

Class 10Substitution MethodAlgebra — Systems of Equations

A6
B4
C3
D2

Step-by-Step Solution

From

3 x = 2 y + 5, x = \frac{2 y + 5}{3}

. Substitute into

2 x + 5 y = 16 : \frac{2 ( 2 y + 5 )}{3} + 5 y = 16, \frac{4 y + 10}{3} + 5 y = 16, 4 y + 10 + 15 y = 48, 19 y = 38, y = 2

. Then

x = \frac{2 ( 2 ) + 5}{3} = \frac{9}{3} = 3

.

Answer: C) 3

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