Question

Medal to the best answer!!
How many solutions are there to the following system of equations?



2x + 6y = –12

10x + 32y = –62



A.
0


B.
infinitely many


C.
1


D.
2

Answer 1

@mathmale

Answer 2

144

Answer 3

@OOOPS

Answer 4

I think Mr.Mathmale would Explain better :)

Answer 5

The question here boils down to:

These two lines intersect 1) nowhere
2) in one point
3) at infinitely many points

You could answer this question by graphing the two lines, or you could solve the system of equations algebraically: elimination by substitution, elimination by addition/subtraction.

Your choice.

Answer 6

I think it's B :) :(

Answer 7

A) 2x + 6y = –12

B) 10x + 32y = –62

Multiply equation A by -5 to get
-10x -30y = 60
Then add this to B)

Answer 8

The answer isn't B infinitely many

Answer 9

Oh

Answer 10

Look at my previous reply
Equation A becomes
A) -10x -30y = 60 then add this to
B) 10x + 32y = –62

Answer 11

A?

Answer 12

Instead of just guessing letters it would be easier just to solve the equations.

Answer 13

D?

Answer 14

I think you just might be guessing letters again. (Hint - the answer is NOT Z either)

Answer 15

It's Either C or B

Answer 16

To be honest, I'm sorry and disappointed to see that you're trying to guess the answer. It'd be so much more interesting, and so much more helpful, to learn how to do these calculations. Most of us on OpenStudy won't tell you the answer or confirm a guess for a reason: we'd like for you to develop the skills to solve these problems.

Answer 17

oh

Answer 18

Have you tried graphing the two equations?

Have you tried finding the slopes of the two lines and comparing them?

Answer 19

Okay let's solve the equations:
A) -10x -30y = 60
B) 10x + 32y = –62

that sums to
2y = -2
So y = -1
Putting that into
2x + 6y = –12 we get
2x -6 = -12
2x = -6
x = -3

So we have 2 solutions to these equations and the answer is D 2

Answer 20

Thanks

Answer 21

u r welcome