Solve one of the equations below. You must show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions. (a) 6x + 4x - 6 = 24 + 9x (b) 25 - 4x = 15 - 3x + 10 - x (c) 4x + 8 = 2x + 7 + 2x - 20
Mathematics · Middle School · Thu Feb 04 2021
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Let's solve equation
(a): 6x + 4x - 6 = 24 + 9x
Step 1: Combine like terms on both sides of the equation.
On the left side, combine the terms containing 'x': 6x + 4x = 10x
The equation becomes: 10x - 6 = 24 + 9x
Step 2: Isolate the variable (x) by getting all the terms containing 'x' on one side and the constant terms on the other side.
Subtract 9x from both sides to get the terms with 'x' on one side: 10x - 9x - 6 = 24 + 9x - 9x 1x - 6 = 24
Step 3: Solve for x by adding 6 to both sides of the equation: x - 6 + 6 = 24 + 6 x = 30
The solution to the equation is x = 30. This equation has one solution.