Question

What is the value of the x variable in the solution to the following system of equations?

3x + y = 1
6x + 2y = −9

0

2

There is no x value as there is no solution to this system

x can be any value as there are infinitely many solutions to this system

Answer 1

Well lets solve for 'y' in that top equation....you'll see why

3x + y = 1

subtrac 3x from both sides to isolate 'y'

y = -3x + 1

This is what we now know 'y' equals...

Now lets look at that second equation

6x + 2y = -9

We know what 'y' equals...so lets replace 'y' with that

6x + 2(-3x + 1) = -9

*notice how the only variable left is 'x' now...can you solve this?

Answer 2

ya distribute 2

Answer 3

Right...so we have

6x - 6x + 2 = -9

What next...?

Answer 4

like terms 6 and -6

Answer 5

Which leaves us with

2 = -9

There is no 'x' left and these numbers do not match...so what is your answer...?

Answer 6

no value for x

Answer 7

There you go!

Answer 8

thanks dude

Answer 9

no problem