Mathematics, 16.02.2020 20:46 ChHal1958

PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST!! Classify each system of equations as having a single solution, no solution, or infinite solutions.

PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST!! Classify each system of equations as having a sing

Answers: 2

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Answer from: Ezekielcassese

see the explanation

see the attached figure

Step-by-step explanation:

Part 1) we have

y=11-2x ----> equation A

4x-y=7

Isolate the variable y

y=4x-7 ----> equation B

Compare the slope of both lines

The slopes are different

That means

The lines intersect at one point

therefore

The system has one solution

Part 2) we have

x=12-3y

isolate the variable y

y=-(1/3)x+4 -----> equation A

3x+9y=24

isolate the variable y

y=-(1/3)x+(8/3) ----> equation B

Compare equation A and equation B

The slopes are equal

The y-intercept are different

That means

we have parallel lines with different y-intercept

The lines don't intersect

therefore

The system has no solution

Part 3) we have

2x+y=7

isolate the variable y

y=-2x+7 -----> equation A

-6x=3y-21

isolate the variable y

y=-2x+7 ----> equation B

Compare equation A and equation B

The equations are identical

That means

Is the same line

The system has infinitely solutions

Part 4) we have

x+y=15

isolate the variable y

y=-x+15 -----> equation A

2x-y=15

isolate the variable y

y=2x-15 ----> equation B

Compare the slope of both lines

The slopes are different

That means

The lines intersect at one point

therefore

The system has one solution

Part 5) we have

2x+y=7

isolate the variable y

y=-2x+7 -----> equation A

-4x=2y+14

isolate the variable y

y=2x-7 ----> equation B

Compare the slope of both lines

The slopes are different

That means

The lines intersect at one point

therefore

The system has one solution

Part 6) we have

x+4y=6

isolate the variable y

y=-0.25x+1.5 -----> equation A

2x=12-8y

isolate the variable y

y=-0.25x-1.5 ----> equation B

Compare equation A and equation B

The slopes are equal

The y-intercept are different

That means

we have parallel lines with different y-intercept

The lines don't intersect

therefore

The system has no solution

PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST!! Classify each system of equations as having a sing

Answer from: traybrown0690

Step-by-step explanation:

Answer from: Quest

eveidence i thing that

step-by-step explanation:

Answer from: Quest

x/3-10=8

x/3=18

x=48

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PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST!! Classify each system of equations as having a sing...