Question

The solution for equations x + y = 3 and x − y = 7 is ______.

Options

• (2, 1)

• (5, −2)

• (5, 2)

• (4, −1)

Answer 1

The solution for equations x + y = 3 and x − y = 7 is (5, −2).

Explanation:

We solve this using the Elimination Method:

Add the two equations:

(x + y) + (x − y) = 3 + 7

x + y + x − y = 10

2x = 10

x = `10/2`

∴ x = 5

Substitute x = 5 in the first equation:

5 + y = 3

y = 3 − 5

∴ y = −2

Hence, x = 5 and y = −2.