Question

If 2x+3y = 0 and 4x-3y =0 then x + y =? ​

Answer 1

Answer :

x + y = 0

Solution :

2x + 3y = 0 --- equation 1

4x - 3y = 0 --- equation 2

Add equation 1 and 2

2x + 3y + 4x - 3y = 0

6x = 0

x = 0

Consider equation 1

2x + 3y = 0

Substitute x = 0 in this

2(0) + 3y = 0

3y = 0

y = 0

x + y = 0 + 0 = 0

Therefore,

x + y = 0

Answer 2

Answer:

$2x + 3y = 0.......i \\ 4x - 3y = 0.......ii \\ \\ adding \: eq \: \: i \: and \: ii \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: 2x + 3y = 0 \\ ( + ) \: \: 4x - 3y = 0 \\ \\ 6x = 0 \\ \\ x = \frac{0}{6} = 0 \\ \\ x = 0 \\ \\ putting \: the \: value \: of \: x \: in \: eq \: i \\ \\ 2x + 3y = 0 \\ \\ 2 \times 0 + 3y = 0 \\ \\ 3y = 0 \\ \\ y = \frac{0}{3} = 0 \\ \\ \\ \\ x = 0 \\ y = 0 \\ \\ \\ so \: x + y = 0 + 0 = 0$

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