The first equation of a linear system is -8x + 12y = -48. which of the following would form a system of linear equations with no solution? a: -8x + 12y = 0 b: 40x - 60y = 240 c: 40x + 12y = 240d: 40x + 60y = 0

we are given

equation as

we will check each options

(a)

-8x + 12y = 0

we can see that left side is same

but right side is different

so, this will make no solution

so, this is TRUE

(b)

40x - 60y = 240

we can divide both sides by -5

-8x +12y = -48

both sides are same

so, this does not make no solution

so, this is FALSE

(c)

40x + 12y = 240

we can divide both sides by -5

-8x -12y = -48

both sides are different

so, this does not make no solution

so, this is FALSE

(d)

40x + 60y = 0

we can divide both sides by -5

-8x -12y =0

both sides are different

so, this does not make no solution

so, this is FALSE

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.