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

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

Respuesta :

FirstSineOfMadness
First of all we can cross out C because the lines are not overlapping, and we can also cross out D because they are not parallel.
To chose between A and B simply plug in the values for x and attempt to solve.
(A) 4
3 * (4) + 2 * y = 8
=> 12 + 2 * y = 8
=> 2 * y = -4
=> y = -2
Then plug x and y into the second equation.
3 * (4) + 2 * (-2) = 8
=> 12 + (-4) = 8
=> 8 = 8
This means that the x value of 4 works for the system.
Final answer:
(A) 4.
Hope I helped :)

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