How many solutions does each system have?

Mathematics

1 answer:

dezoksy [38]1 year ago

6 0

Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and 7)/

There is no solution to this system.

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The difference of two integers is thirty. the larger integer is two more than five times the smaller integer. Find the integers

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X=2+5y
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basically, all you're doing here is solving a system of equations. use the second equation to find out what x or y means. i'm going to solve it for x.

this is the new equation : x=30+y

now i plug this equation into the first one.

30+y=2+5y

30=2+5y-y
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now that you know what y is, take that second equation we did in the beginning and plug in y.

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solve for x

x=37

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Step-by-step explanation:

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