Answer:
3
Explanation:
Solve for m.
3x + 4 = mx + 4 subtract 4 from each side
3x + 4 - 4 = mx + 4 - 4 the 4’s on both sides will cancel
3x = mx divide each side by x
3x/x = mx/x The x cancels and you’re left with
3 = m
If m = 3 then
3x + 4 = mx + 4 will become
3x + 4 = 3x + 4 subtract 4 from each side
3x + 4 - 4 = 3x + 4 - 4 the 4’s on both sides will cancel
3x = 3x divide each side by 3
3x/3 = 3x/3 The 3s cancel and you’re left with
x = x
So for any value of x, positive or negative, they will equal each other. Therefore there are an infinite number of solutions when m = 3