Answer:
Step-by-step explanation:
In this question, one is asked to multiply a fraction by a whole number, first model the question.
In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.
Simplify,
A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.
Answer:
x =
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x =
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = |
| =
right side = - 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = |
| =
right side = - 5 = -
right side ≠ left sides, hence not a solution
