Answer:
or
Step-by-step explanation:
Answer: sorry i apologize so bad i didn't know it would type like that
Step-by-step explanation:
Split it into two equations:
x - 2 = 6
and
-x + 2 = 6
-----------------------------------------------
x - 2 = 6
Add 2 to both sides:
x = 8
-x + 2 = 6
Subtract 2 to both sides:
-x = 4
Multiply -1 to both sides:
x = -4
So x = 8 and x = -4.
Answer: She read for 10 Days, equation below
Step-by-step explanation:
Number of pages = 180
Rate = 12pages Per day
Number of days read = (180-60) /12
Days read = (total no of page - page left)/page read per day
= 120/ 12 = 10 days
Days remaining = pages left /page per day
=60/ 12 = 5
The price of one hat is $2 and one pair of mittens is $5
Step-by-step explanation:
Hats and mittens are on sale at the store!
- One woman was able to buy 5 hats and 4 pairs of mittens for $30
- Another woman purchased 3 pairs of mittens and 2 hats for $19
- The price of one hat is x
- The price of one pair of mittens is y
We need to find x and y
∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30
∵ The price of one hat is x
∵ The price of one pair of mittens is y
- Multiply 5 hats by x and 4 pairs of mittens by y and equate
their sum by 30
∴ 5x + 4y = 30 ⇒ (1)
∵ Another woman purchased 3 pairs of mittens and 2 hats for $19
- Multiply 2 hats by x and 3 pairs of mittens by y and equate
their sum by 19
∴ 2x + 3y = 19 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2 and equation (2) by 5 to eliminate x
∵ -10x - 8y = -60 ⇒ (3)
∵ 10x + 15y = 95 ⇒ (4)
- Add equations (3) and (4)
∴ 7y = 35
- Divide both sides by 7
∴ y = 5
Substitute the value of y in equation (1) or (2) to find x
∵ 2x + 3(5) = 19
∴ 2x + 15 = 19
- Subtract 15 from both sides
∴ 2x = 4
- Divide both sides by 2
∴ x = 2
The price of one hat is $2 and one pair of mittens is $5
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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