Question

If 2x + 3y = –5 and 3x + 2y = 0, then x is equal to ______.

पर्याय

• –3

• 3

• –2

• 2

Answer 1

If 2x + 3y = –5 and 3x + 2y = 0, then x is equal to 2.

Explanation:

We have the system of equations:

1. 2x + 3y = –5
2. 3x + 2y = 0

From equation (2),

Solve for y:

3x + 2y = 0

⇒ 2y = –3x

⇒ `y = (-3x)/2`

Substitute y in equation (1):

`2x + 3((-3x)/2) = -5`

`2x - (9x)/2 = -5`

Multiply entire equation by 2 to eliminate the fraction:

4x – 9x = –10

–5x = –10

x = 2

Therefore, x = 2, which corresponds.