Question

Solve 2x +y =7, 4x -3y=- 1 by substitution method

Answer 1

Solution:-

The given system of equations is

2x + y = 7 ——(i)

4x - 3y = -1 ——(ii)

From equation (i), we get y = (7 - 2x).

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Substituting y = (7- 2x) in (ii), we get

→ 4x - 3(7 - 2x) = -1

→ 4x - 21 + 6x = -1

→ 10x - 21 = -1

→ 10x = -1 + 21

→ 10x = 20

→ x = 20/10

→ x = 2

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Substituting x = 2 in equation (i), we get

→ 2 × 2 + y = 7

→ 4 + y = 7

→ y = 7 - 4

→ y = 3

Hence, the solution is x = 2 and y = 3.

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Answer:-

• x = 2 and y = 3