Solve for x and y, if 2x+3y=8 and x+2y=5. - Infinity Learn by Sri Chaitanya

Given equation are,

2 x + 3 y = 8

.............(1)

x + 2 y = 5

.......(2)
From equation (1), we get,

x = \frac{8 - 3 y}{2}

.......... (3)
From equation (2), we get,

x = 5 - 2 y

.......... (4)

∴ \frac{8 x - 3 y}{2} = 5 - 2 y

⇒

8 x - 3 y = 10 - 4 y

⇒

3 y = 10 - 4 y

⇒

y = 2

Using

y = 2

in equation (4), we get,
⇒

x = 5 - 4

⇒

x = 1

.
Therefore,

x = 1, y = 2

.
Hence, the correct option is 1.

Solve for $x$ and $y$ , if $2 x + 3 y = 8$ and $x + 2 y = 5$ .