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3 years ago

Find the solution to the system 4x - y = -12 and -x - y = 3

Mathematics

1 answer:

nikdorinn [45]3 years ago

8 0

Answer:

x = -3 , y = 0

Step-by-step explanation:

Solve the following system:

{4 x - y = -12 | (equation 1)

-x - y = 3 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{4 x - y = -12 | (equation 1)

0 x - (5 y)/4 = 0 | (equation 2)

Multiply equation 2 by 4/5:

{4 x - y = -12 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by -1:

{4 x - y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Add equation 2 to equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = -3 , y = 0

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There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The

Karolina [17]

Answer:

Step-by-step explanation:

The computation of the mean number of coins for the girls is shown below:

Since there are 24 boys and 16 girls so the total children is 40

So the number of coins for all children is

= 40 × 11

= 440

And, the number of coins for all boys is

= 9 × 24

= 216

Now the mean is

= (440 - 216) ÷ 16 girls

= 14

4 0

3 years ago

Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation

pshichka [43]

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m= $\frac{30}{6}$

=>m=5

It will take 5 months for Jason to weigh the same as Gerardo

5 0

2 years ago

Louis, Lucas, Garcelle, and Sheryl go bowling every week. when ordere for highest to lowest, how many ways can their scores be a

vichka [17]

Since lucas is never first and garcelle always beats louise it could be garcelle, louise then lucas or garcelle lucas louise 2 options

5 0

3 years ago

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50 POINTS !! PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Musya8 [376]

Answer:

The length of the missing leg is 56 meters.

Step-by-step explanation:

Use the Pythagorean theorem to figure out the leg of the missing leg.

Formula: a^2+b^2=c^2, given a=leg, b=leg, and c=hypotenuse

The hypotenuse is 65 meters, and one of the legs is 33 meters, so plug it into the formula and solve for a.

a^2+33^2=65^2

a^2+1089=4225

a^2=3136

Take the square root of both sides, and you get 56 meters.

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3 years ago

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Mr. Santos purchased pizza and soda. Each pizza cost $14.50. He spent $127 on the soda. If he spent $315.50, use the equation 14

natali 33 [55]

Answer:

13 pizzas he bought

Step-by-step explanation:

315.50 - 127 = 188.50 then do 188.50 divided by 14.50 = 13

Hope this helps :)

4 0

3 years ago