Question

One last question:

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

3x + 2y = 8
2x + 3y = 2

4

−2

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

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

Answer 1

I know I have to use the elimination method but how?

Answer 2

multiply (3x + 2y = 8) by co-efficient of x or y
multiply (2x + 3y = 2) by co-efficient of x or y

you get 6x + 4y = +16
+ 6x + 9y = +6
- - - (sign changed for subtraction)
-------------------------
-5y = 10
y = -2

put y in any equation to get x = 4

Answer 3

Are you 100% positive? If so thank you. : )

Answer 4

multiply equation 1 by 2 and eq 2 by 3 (coeff of x).

Answer 5

Thank you

Answer 6

pleasure.