Question

PLEASE HELP ASAP!! Explain how you found the answers!Thank you

Answer 1

Hi there! I can help you with this!

a. Okay. So for questions like these, we have to combine like terms and solve this answer out. The problem would look like this: 10x - 6 =  24 + 9x. First, subtract 9x from both sides to get x - 6 = 24. Now, add 6 to both sides and you get x = 30. There is one solution and the equation is neither.

b. Repeat the same thing in this equation. 25 - 4x = 25 - 4x. First, add 4x to both sides to get 25 = 25. There are in infinite number of solutions and the equation is an identity.

c. 4x + 8 = 4x - 13. okay, subtract 4x from both sides, and you get 8 = 13, which is not a true statement. This problem has no solutions and is a contradiction.

Basically, to solve these problems, you have to add or subtract the "x" from the right side first to get the whole number by itself, and then if needed, add or subtract the whole number from the left side. Then, divide each side by the number the "x" is beside to isolate the "x". If the number is a positive, you subtract. If a number is negative, you add. If the number beside the "x" is negative and you have to divide, just divide by the negative. An identity equation has an infinite number of solutions, a contradiction equation has no solutions, and neither just simply means it's not an identity nor contradiction.