Question

Solve |x-3|=7 plz help asap I will mark brainliest

Answer 1

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Answer 2

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.