Mathematics
18.02.2022 04:30
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Solve the following system by the substitution method. Show your work. {2x−7y=12

Solve the following system by the substitution method. Show your work.

{2x−7y=12
−x+3.5y=−6
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adejumoayobami1
adejumoayobami1
4,5(13 marks)

see the explanation

The system has infinity solutions

Step-by-step explanation:

we have

2x-7y=12 ----> equation A

-x+3.5y=-6

isolate the variable x

x=3.5y+6 ----> equation B

Solve by the substitution method.

substitute equation B in equation A

2(3.5y+6)-7y=12

solve for y

7y+12-7y=12\\12=12

The system has infinity solutions

That means The equation A and equation B are the same line

Verify

we have

2x-7y=12 ----> equation A

-x+3.5y=-6 ----> equation B

Multiply by -2 both sides equation B

(-2)(-x)+(-2)(3.5y)=-6(-2)

2x-7y=12

so

Equation A and equation B is the same line

The system has infinity solutions

camerondillonn
camerondillonn
4,6(60 marks)

a the number of poop in decimales means the adjective of the mooper of poop recriprocals

a

Step-by-step explanation:

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