Question

Which of the following satisfy the equations x − 2y = 7 and 3x + 2y = 5?

विकल्प

• (7, 0)

• (3, −2)

• (3, 2)

• (1, 1)

Answer 1

(3, −2)

Explanation:

We solve this using the Elimination Method:

Add the two equations:

(x − 2y) + (3x + 2y) = 7 + 5

x − 2y + 3x + 2y = 12

4x = 12

x = `12/4`

∴ x = 3

Substitute x = 3 into the first equation:

3 − 2y = 7

−2y = 7 − 3

−2y = 4

y = `4/-2`

∴ y = −2

Hence, x = 3 and y = −2.