Question

Tell whether the equation has one solution, infinitely many solutions or no solution and explain how you know. (c) 4x + 8 = 2x + 7 - 20

Answer 1

~Heya~ :3

To determine whether the equation 4x + 8 = 2x + 7 - 20 has one solution, infinitely many solutions or no solution, we can simplify it by combining like terms and solving for x. Subtracting 2x from both sides gives 2x + 8 = 7 - 20, and then subtracting 8 from both sides gives 2x = -21. Dividing both sides by 2 gives x = -10.5. Since we have found a definite value for x, we can say that the equation has

>A. one solution.

Explanation:

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Answer 2

one solution , x = -
`(21)/(2)`

Explanation:

given the equation

4x + 8 = 2x + 7 - 20 ( simplify right side )

4x + 8 = 2x - 13 ( subtract 2x from both sides )

4x - 2x + 8 = 2x - 2x - 13 ( simplify both sides )

2x + 8 = - 13 ( subtract 8 from both sides )

2x + 8 - 8 = - 13 - 8 ( simplify both sides )

2x = - 21 ( divide both sides by 2 )

`(2)/(2)` x =
`(-21)/(2)` , that is

x = -
`(21)/(2)`

the equation has only one solution