Solve the following pair of equations and choose the correct answer.
2x + y = 7
3x + 2y = 12

(2,3)

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(3,2)

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(1,0)

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(-3,2)

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Solution

The correct option is A
(2,3)

Given:

2x + y = 7 (1)
3x + 2y = 12 (2)

Multiply equation (1) by 2, we get:

2(2x+y) = 2(7)
$\Rightarrow$ 4x+2y = 14 (3)

Subtract (2) from (3) we get

x = 2
y = 3

Thus, the solution for the given pair of linear equation is (2,3).

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Similar questions

Solve the following pair of equations:
$2 x + y = 7$
$3 x + 2 y = 12$
Choose the correct answer from the given options.

Solve the following pair of equations:
2x + y = 7
3x + 2y = 12

2 x = y + 1

x + 2 y - 8 = 0

2^{x} + 2^{y} = 12, x + y = 5

\frac{1}{2 (2 x + 3 y)} + \frac{12}{7 (3 x - 2 y)} = \frac{1}{2}

\frac{7}{2 x + 3 y} + \frac{4}{3 x - 2 y} = 2

2 x + 3 y \neq 0

3 x - 2 y \neq 0

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