Solve the following pair of equations:
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)

We have,

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.

2 x + y = 5, 3 x + 2 y = 8

x

y

3 x + 2 y = 5

2 x - 3 y = 7

x + 2 y - z = 7, 2 x - y + z = 2, 3 x - 5 y + 2 z = - 7

Solve the following pair of linear equations by elimination method : 3x + 2y = 8 and 2x – y = 3. [2 MARKS]

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