MATHEMATICS MIDDLE SCHOOL

PLEASE HELP!!!!!!!!The system of equations is inconsistent. What are the missing values?

5x+____y=2
____x+3y=8

Answers

Answer 1
Answer: 5x+ay=2 \nbx+3y=8

Write it in the y=mx+b form.

ay=-5x+2 \n3y=-bx+8 \n \ny=-(5)/(a)x+(2)/(a) \ny=-(b)/(3)x+(8)/(3)

The system will be inconsistent when the equations describe two parallel lines.
Two lines are parallel when their slopes are identical.
-(5)/(a)=-(b)/(3) \nab=(-5) * (-3) \nab=15

Also they can't be the same line, so the y-intercepts must be different.
(2)/(a) \not= (8)/(3) \n8a \not= 2 * 3 \n8a \not= 6 \na \not= (6)/(8) \na \not= (3)/(4)

So for every value of a and b such that ab=15 and a≠3/2 this system of equations is inconsisent.

It can be:
5x+5y=2 \n3x+3y=8
or
5x+15y=2 \nx+3y=8
or
5x+(1)/(2)y=2 \n30x+3y=8
etc.

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Answers

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Answers

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Answers

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Step-by-step explanation:

10
10 i think sorry if its worng

HURRY PLS

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Answers

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Step-by-step explanation:

Answer:

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Answers

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Hope that helped
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