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

Step-by-step 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.