Question

y = 3x - 2\
2y = 6x - 4\
substitute and solve for x.\
2y = 6x - 4\
2(3x - 2) = 6x - 4\
6x - 4 = 6x - 4\
-4 = -4 \leftarrow true\
how many values of x make the equation 6x - 4 = 6x - 4 true?\
one value of x\
any value of x\
no value of x

Explanation:

Step1: Analyze the equation

We have the equation \(6x - 4=6x - 4\).

Step2: Subtract \(6x\) from both sides

Subtract \(6x\) from both sides of the equation: \(6x - 4-6x=6x - 4 - 6x\).
Simplifying both sides, we get \(- 4=-4\).
This is a true statement regardless of the value of \(x\) because the variable \(x\) has been eliminated and we are left with a true equality.

Answer:

any value of \(x\)