how many solutions does 2x+6=4(x-1)
did you solve this simple equation?
you will only get one unique solution.
consider
y = 2x+6
y = 4x-4
The lines have different slopes, so they must intersect in exactly one point.
To determine the number of solutions for the equation 2x + 6 = 4(x - 1), we need to solve it and see how many distinct values of x satisfy the equation.
Step 1: Start by expanding the expression on the right side of the equation using the distributive property.
2x + 6 = 4x - 4
Step 2: Simplify the equation by combining like terms. Move all the terms with x to one side and the constant terms to the other side.
2x - 4x = -4 - 6
-2x = -10
Step 3: Divide both sides of the equation by -2 to isolate x.
(-2x) / (-2) = (-10) / (-2)
x = 5
The solution to the equation is x = 5, which means there is only one solution.