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- anonymous

Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations?
It is (18, 9).
It is (9, 18).
There are infinitely many solutions.
There is no solution.

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- anonymous

- jamiebookeater

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- anonymous

please help

- anonymous

Okay, let's try and solve the system of equations by using elimination. How many times does the second equation go in the first?

- anonymous

i dont know

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- anonymous

Put the equation side by side one another. What do you have to multiply with x to turn into 2x? What do you have to multiply with y to get 2y and what do you have to multiply with 9 to get 18?
2x + 2y = 18
x + y = 9

- anonymous

2

- anonymous

Multiply the second equation by 2 then.
2(x + y = 9)
It'll equal the first equation.
If the second equation and the first equation are equal, what does that mean?

- anonymous

i dont know

- anonymous

It means that they're the same line.

- anonymous

I'm willing to help if you're at least willing to try.

- anonymous

ok

- anonymous

but i don't get what the answer will be

- anonymous

What do same lines have? Infinite solutions, no solution, or just one solution?

- anonymous

just 1 solution

- anonymous

Nope. Try again.

- anonymous

no solution

- anonymous

No. They have infinite solutions. Every single point is the same.

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