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Pavel [41]
3 years ago
10

Solve this system of linear equations. Separate the x- and y- values with a comma. 8x + 2y =-42 4x + 7y=-3

Mathematics
1 answer:
gavmur [86]3 years ago
7 0
<h3><u>The value of x is equal to -6.</u></h3><h3><u>The value of y is equal to 3.</u></h3>

8x + 2y = -42

4x + 7y = -3

In the first equation, subtract 8x from both sides.

2y = -42 - 8x

Divide all terms by 2.

y = -21 - 4x

Now that we have a value of y, we can plug it into the second equation to solve for x.

4x + 7(-21 - 4x) = -3

Distributive property.

4x - 147 - 28x = -3

Combine like terms.

-24x - 147 = -3

Add 147 to both sides.

-24x = 144

Divide both sides by -24.

x = -6

Now that we have a true value for x, we can plug it into either equation to solve for y.

8(-6) + 2y = -42

-48 + 2y = -42

Add 48 to both sides.

2y = 6

Divide both sides by 2.

y = 3

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Please help on this equation I don't get it.
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Answer:

0.6 liters

Step-by-step explanation:

3 liters divided amongst 5 people comes to 0.6 liters per person. there are approximately 33.8 ounces in a liter so in ounces, everyone would get approximately 56.35 ounces of soda.

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7 0
3 years ago
Place the expressions that are equivalent under the corresponding expression in the table.
serg [7]

Answer:

Step-by-step explanation:20

20  130  3  8.12 - 1) 2:2  12-1  21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.

5 0
2 years ago
Read 2 more answers
∠ and ∠ are supplementary angles. If ∠ = (2 − 30)° and ∠ = 4, find the measure of the larger angle
Gala2k [10]

Answer:

We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

Step-by-step explanation:

we have  ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.

If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°

So,  First we have to find the value of x. and then we can determine larger angle.

We know: ∠A + ∠B = 180

2x-30+4x=180

6x-30=180

6x=180+30

6x=210

x=210/6

x=35

So, value of x is x=35

Now finding ∠A and ∠B

∠A = (2x − 30)°

∠A = (2(35) − 30)°

∠A = (70 − 30)°

∠A =40°

and ∠B = 4x

∠B = 4(35)

∠B = 140°

So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle

6 0
3 years ago
What is the solution of the system of equations? y=-4x+10 y=-2x-6
Elina [12.6K]

Question-


What is the solution of the system of equations? y=-4x+10 y=-2x-6


Answer-


y = -4x + 10

y = -2x - 6


-4x + 10 = -2x - 6

-4x + 2x = -6 - 10

-2x = -16

x = -16/-2

x = 8


y = -4x + 10

y = -4(8) + 10

y = -32 + 10

y = -22


solution is (8,-22)


Hope i helped have a wonderful day

Can i get a Brainliest please and thank you...

4 0
3 years ago
Read 2 more answers
Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive
miss Akunina [59]

Answer:

a. 0.343

b. 0.657

c. 0.189

d. 0.216

e. 0.353

Step-by-step explanation:

We use the combination formula of probability distribution to solve the question.

Where P(x=r) = nCr * p^r * q^n-r

Where n = number of trials = 3 vehicles

r = desired outcome of trial which varies.

p = probability of success = 70% =0.7

q = probability of failure = 1-p = 0.3

a. Probability that all 3 vehicles passed = P(X=3)

= 3C3 * 0.7^3 * 0.3^0 = 1 * 0.343 * 1

= 0.343.

b. Probability that at least one fails = 1 - (probability that none failed)

And probability that none failed = probability that all 3 vehicles passed.

Hence Probability that at least one fails = 1 - (probability that all 3 vehicles passe)

= 1 - 0.343

= 0.657

c.) probability that exactly one pass= P(X=1)

= 3C1 * 0.7¹ * 0.3² = 3 * 0.7 * 0.09

= 0.189

d.) probability that at most One of the vehicles passed = probability that none passed + probability of one passed.

Probability that none of the vehicles passed = P(X=0)

= 3C0 * 0.7^0 * 0.3^3 = 1*1*0.027

=0.027

Probability that one passed as calculated earlier = 0.189

Hence probability that at most one vehicle passed = 0.189 + 0.027 = 0.216

e.) Probability that all three Vehicles pass given that at least one pass = (probability of all three vehicles passes) / (probability that at least one passes)

Probability that at least one pass = 1 - probability that none passed.

= 1 - 0.027

= 0.973

Hence,

Probability that all three Vehicles passed given that at least one passed = 0.343/0.973

= 0.3525 = 0.353 (3.d.p)

7 0
3 years ago
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