Answer:
b=−12
Step-by-step explanation:
Answer:
x=2/5
or
x=-22/5
Step-by-step explanation:
If Ciro's expression is equal to Gunther's expression x is equal to 2/5.
If Gerard's expression is equal to Gunther's expression x is equal to -22/5.
Your welcome!
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:
smaller number = 17, larger number = 34
Step-by-step explanation:
Let x be the smaller number and y be the larger nuber
x + y = 51 --(1)
y - 17 = x --(2)
Sub (2) into (1)
y - 17 + y = 51
y = 34
Put y = 34 into (2)
34 - 17 = x
x = 17
Ans: smaller number = 17, larger number = 34
Answer:
9:100
Step-by-step explanation:
Turn 9% into a fraction by putting it over a hundred:
9/100
Then simply change the '/' into ':'
If this were another fraction, let's say, 4/6, then you'd put it in simplest form, which is 2/3 = 2:3