2|7 − 7x| = 2x + 4
|7 - 7x| = x + 2
7 - 7x = x + 2 or 7 - 7x = -(x + 2)
-8x = -5 or 7 - 7x = -x - 2
x = 5/8 or -6x = -9
x = 5/8 or x = 9/6
x = 5/8 or x = 3/2
To check for extraneous solutions, we check both solutions in the original equation.
<em>Check solution 5/8:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 5/8| = 5/8 + 2
|56/8 - 35/8| = 5/8 + 16/8
21/8 = 21/8
<u>Solution x = 5/8 works.</u>
<em>Check solution 3/2:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 3/2| = 3/2 + 2
|14/2 - 21/2| = 3/2 + 4/2
|-7/2| = 7/2
7/2 = 7/2
<u>Solution 3/2 also works.</u>
Answer: x = 5/8 or x = 3/2
Answer:
y = 4x + 5
Step-by-step explanation:
anything with the slope of 4x is parallel to the given equation. therefore, there are an infinite amount of answers.
<u>so, y = 4x + any number</u>
hope this helps!<3
Answer:help pls
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
5) 2x² -7x + 34
x + 5 2x³ + 3x² - x + 1
-2x³ -10x²
0 - 7x² - x
+7x² +35x
0 +34x + 1
-34x - 170
0 - 160
Quotient = 2x² - 7x + 34
Remainder = -160
6) 2x² - 3x + 1
3x + 1 6x³ - 7x² + 0x + 2
-6x³ -2x²
0 -9x² + 0x
+9x² +3x
0 +3x + 2
- 3x - 1
0 + 1
Quotient = 2x² - 3x + 1
Remainder = 1
