Question

If x + y = 5 and x – y = 3 then 3x + 2y is equal to ______.

Options

• 14

• 10

• 5

• –5

Answer 1

If x + y = 5 and x – y = 3 then 3x + 2y is equal to 14.

Explanation:

Given the system of equations:

x + y = 5

x – y = 3

Adding the two equations:

(x + y) + (x – y) = 5 + 3

2x = 8

`x = 8/2`

x = 4

Substitute x = 4 into the first equation:

4 + y = 5

y = 1

Now find the value of 3x + 2y:

3(4) + 2(1)

= 12 + 2

= 14

Therefore, 3x + 2y equals 14, which corresponds.