Solve for x and y, using substitution method :
` 2x + y = 7, 4x - 3y + 1 =0 `

Options

A. (2,3)
B. (3,2)
C. (2,4)
D. (1,3)

Answer

A

Explanation

The given system of equation is
` 2x + y = 7" " `… (i)
`4x - 3y = - 1 " " `… (ii)
From (i), we get `y = ( 7 - 2x )`
Substituting `y = ( 7 - 2x ) ` in (ii), we get
` 4x- 3 ( 7 - 2x ) = -1 `
`rArr 4x - 21 + 6x = -1 `
`rArr 10 x = 20`
` rArr x = 2 `
Substituting `x = 2 ` in (i), we get
` 2xx 2 + y = 7 rArr y = 7 - 4 = 3`.
Hence, the solution is ` x = 2, y = 3 ` .