Explanation:
we can make the coefficients of y equal by multiplying the first equation by 2:
y = 3x - 4 (multiply by 2)
2y = 6x - 8
Now we have:
2y = 6x - 8
2y = 2(3x - 4)
Next, we can subtract the second equation from the first equation to eliminate y:
2y - 2y = (6x - 8) - 2(3x - 4)
Simplifying the right side:
0 = 0
This equation is true for all values of x and y, which means that the two equations are equivalent and have infinitely many solutions.
Therefore, the solution set is all ordered pairs of the form (x, y) that satisfy the equation y = 3x - 4.