Question

Find the solution to the following equations below and identify either one solution, no solution or infinite solutions. Be able to explain your choice.

3(x+4)=3x+11
-2(x+3)=-2x-6
4(x-1) = 1/2(x-8)
3x-7=4+6 +4x

Answer 1

9514 1404 393

Answer:

• no solution
• infinite solutions
• one solution
• one solution

Explanation:

3(x+4)=3x+11

3x +12 = 3x +11

1 = 0 . . . . . . . . . . subtract 3x+11 from both sides. NO SOLUTION

No value of the variable will make this true.

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-2(x+3)=-2x-6

-2x -6 = -2x -6

0 = 0 . . . . . . . . . add 2x+6 to both sides. INFINITE SOLUTIONS

True for every value of the variable.

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4(x-1) = 1/2(x-8)

4x -4 = 1/2x -4

(3 1/2)x = 0 . . . . . . add 4-1/2x to both sides

x = 0 . . . . . ONE SOLUTION

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3x-7=4+6 +4x

-17 = x . . . . . . . . . . add -10-3x to both sides. ONE SOLUTION