Question

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!!

Answer 1

the value of x should be 4 i think

Answer 2

Answer:

x = 4

Step-by-step explanation:

To find x, we can use elimination:

$3(3x+2y)=3\times8$ (times 3 on both sides so $2y$ becomes 6y)

$9x+6y=24$

$2(2x+3y)=2\times2$ (times 2 on both sides so $3y$ becomes 6y)

$4x+6y=4$

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

$5x=20$

$x=4$

Option a is correct.