Question

6.03] 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

The answer is 4:
9x + 6y = 24
4x + 6y = 4
-
5x = 20
÷ 5
x = 4
I hope this helps!

Answer 2

For the answer to the question above,

Multiply equation (1) by 2 and equation (2) by 3 
6x+4y=16 
6x+9y=6 
subtract 
-5y = 10 
y=-2 

plug this y into equation (1) 
3x+2(-2) = 8 
3x-4=8 
3x=12 
x=4

I hope my answer helped you. Feel free to ask more questions. Have a nice day!