Question

IV. Intercepts. Give the intercepts of the following linear equations. 1) 5x + 3y = 8 2) 10x + 6y - 12 = 4 3) 2x – 3y = 5 4) 3x + 2y = 1 the giver

Answer 1

1)
`(8)/(3)`

2)
`(8)/(3)`

3)
`(-5)/(3)`

4)2

Explanation:

1) 5x + 3y = 8

3y=8-5x

`y=(-5)/(8) x+(8)/(3)`

hence intercept is
`(8)/(3)`

2) 10x + 6y - 12 = 4

10x + 6y = 16

6y=16-10x

`y=(-10)/(6) x+(16)/(6)`

hence intercept is
`(8)/(3)`

3) 2x – 3y = 5

3y=2x-5

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

hence intercept is
`(-5)/(3)`

4) 3x + 2y = 1

2y=-3x+4

`y=(-3)/(2) x+(4)/(2)`

hence intercept is 2