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Ksju [112]
2 years ago
13

Which graph shows a system of equations with no solutions?

Mathematics
1 answer:
podryga [215]2 years ago
4 0

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

7x - 2y = 16\\21x + 6y =24

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

substituting the following x in 2nd equation (21x + 6y = 24) We get

21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2

Put y= -2 in x equation

x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71

Comparing these (x,y) values we can understand that they never meet at a point

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in a class experiment, Sean finds that the probability that a student plays soccer is 12/25. if the school population is 300, ho
fgiga [73]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following:

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Read 2 more answers
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
fenix001 [56]

A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

<h3>Which is the correct representation of the inequality?</h3>

Here we have.

-3(2x - 5) < 5*(2 - x)

First, we need to isolate x in one side, let's expand both sides:

-6x + 15 < 10 - 5x

15 - 10 < 6x - 5x

5 < x

This will be represented with a number line where we have an open circle at 5, and an arrow that goes to the right. So the correct option is:

"A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right."

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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