Question

Predict the number of solutions for the given linear system.

5x - y= -2
3x + y= 6
a) none
b) 1
c) infinite
d) 2

Answer 1

Explanation:

Put these equations in slope intercept form

`5x - y = - 2`

`- y = - 2 - 5x`

`y = 2 + 5x`

And for the other,

`3x + y = 6`

`y = - 3x + 6`

For both equations, we have different slope and different y intercept so they are eventually going to intersect once.

B is the answer.