Advertisements
Advertisements
Question
If 2x + 3y = –5 and 3x + 2y = 0, then x is equal to ______.
Options
–3
3
–2
2
MCQ
Fill in the Blanks
Advertisements
Solution
If 2x + 3y = –5 and 3x + 2y = 0, then x is equal to 2.
Explanation:
We have the system of equations:
- 2x + 3y = –5
- 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.
shaalaa.com
Is there an error in this question or solution?
