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2 years ago

What is the solution for the system of equations? y=−x+4 y= x−2

Mathematics

1 answer:

MissTica2 years ago

6 0

Answer:

(3, 1 )

Step-by-step explanation:

Given the 2 equations

y = - x + 4 → (1)

y = x - 2 → (2)

Substitute y = x - 2 into (1)

x - 2 = - x + 4 ( add x to both sides )

2x - 2 = 4 ( add 2 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

y = 3 - 2 = 1

solution is (3, 1 )

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James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?

tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

James has in a bag 77 of nickels and dimes
The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0

3 years ago

Monday: 10 apples and 5 bananas

goldfiish [28.3K]

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

5 0

3 years ago

For an angle Θ with the point (12, −5) on its terminating side, what is the value of cosine?

Katyanochek1 [597]

Well, in order to answer this problem we need to use the <span>the Pythagorean Theorem and the it will be like this:
cos = x / hypotenuse
cos= 12/13
I think with this you can figure the rest out. Hope this helps</span>

6 0

3 years ago

Read 2 more answers

Please help! I will mark brainliest :))

Valentin [98]

First do inside the parenthesis first.

When dividing two exponents subtract them.

15-5 = 10

So w^15 / w^5 becomes w^10

Now you have (w^10)^4

Now multiply the exponents:

10 x 4 = 40

Final answer is w^40

3 0

3 years ago

Shelly is a baker she is using batter to make pancakes. Which is the dependent variable the batter or the pancakes. Which is the

Nesterboy [21]

Answer:

The Pancakes are actually dependent while the Batter is Independent because your are changing the batter. Think of I change in an Independent variable. You cant really change the outcome which is the dependent.

Step-by-step explanation:

4 0

3 years ago