All categories

3 years ago

Find the solution of this system of equations. Seperate the x and y values with a comma.

Mathematics

2 answers:

11111nata11111 [884]3 years ago

7 0

-16 ( -2 +y) - 3y= -25
32 -16y -3y = -25
32 - 19y = -25
-32. -32

-19y =-57
y=3

ELEN [110]3 years ago

3 0

We are given 'x' in the first equation.
x = -2 + y
Now we can substitute -2 + y into the second equation.
-16 (-2 + y) - 3y = -25

Distributing -16 will get:
32 - 16y - 3y = -25
and now we can simplify it and find 'y'
32 - 19y = -25
-19y = -57
y = 3

Then we can substitute 3 for 'y' in the original equation.
x = -2 + 3 ---> x = 1
(1,3) is the answer

To check these answers we just substitute 'x' and 'y' into both equations.
1) 1 = -2 + 3 True

2) -16(1) - 3(3) = -25
-16 - 9 = -25 True

Hope I helped you!

You might be interested in

A game contains 3 bags of green chips 2 bags of red chips and 5 bags og yellow chips. there ard 25 green chips in a bag and 30 r

nika2105 [10]

1 game has 3 bags of green chips ; 2 bags of red chips ; 5 bags of yellow chips
1 bag: 25 green chips
1 bag: 30 red chips

total number of chips:
green: 3 x 25 = 75
red: 2 x 30 = 60
yellow: 75 + 60 = 135 answer to part a.

75 + 60 + 135 = 270 total number of chips.

270 / 54 = 5 players. answer to part b.

Each of the 5 players will have 15 green chips, 12 red chips, and 27 yellow chips, for a total of 54 chips.

8 0

3 years ago

The scatter plot shows the relationship between pages read per week and age. What is the range of the cluster shown in the scatt

Katen [24]

Answer:

part 1 of the question is d ,and part 2 of the question is b.

8 0

3 years ago

Read 2 more answers

What is the measure of 1,2, and 3

never [62]

Answer

You did not give the whole picture, soory

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The sum of 8 times a number and 9 equals 3.<br> Use the variable W for the unknown number

olga55 [171]

Answer: W= -0.75
Explanation: 8 x -0.75= -6
-6 + 9= 3

7 0

3 years ago

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

shtirl [24]

Answer:

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability $\frac{1}{2}$ and looses with probability $\frac{1}{2}.$ Let $P(W_R)$ be probability that Roses win and $P(L_R)$ be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

$P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}$

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,

$\frac{1}{16} \times 100\%=6.25\%.$

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.

3 0

3 years ago