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PLS HELP!! WILL GIVE BRAINLIEST!!
What is the value of the x variable in the solution to the following system of equations? (5 points)

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

a.) 4
b.) −2
c.) x can be any number as there are infinitely many solutions to this system
d.) There is no x value as there is no solution to this system.

Please and thank you!!

Respuesta :

evelynh5346
the value of x should be 4 i think
goodLizard

Answer:

x = 4

Step-by-step explanation:

To find x, we can use elimination:

[tex]3(3x+2y)=3\times8[/tex] (times 3 on both sides so [tex]2y[/tex] becomes 6y)

[tex]9x+6y=24[/tex]

[tex]2(2x+3y)=2\times2[/tex] (times 2 on both sides so [tex]3y[/tex] becomes 6y)

[tex]4x+6y=4[/tex]

[tex]9x+6y-(4x+6y)=24-4[/tex] (This eliminates the variable [tex]y[/tex] so we are left with only one variable: [tex]x[/tex])

[tex]5x=20[/tex]

[tex]x=4[/tex]

Option a is correct.