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Lemur [1.5K]
3 years ago
12

3x+1 = y 2x+3y = 14 please explain the steps if you can as well

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0
3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method.  Substitution the equation where the variable is isolated into the second equation.  In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1.  Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

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How do you reduce the fraction of 600 out of 25
erik [133]

Answer:

24

Step-by-step explanation:

600/25

25 goes into 600 24 times

so 600/25 could be reduced to a whole number, 24

4 0
3 years ago
What is the volume of a hemisphere with a diameter of 3.7 m, rounded to the nearest
lidiya [134]

Answer:

volume of the hemisphere  ≈13.3 m³

Step-by-step explanation:

To find the volume of the hemisphere, we will follow the steps below;

volume of a hemisphere = volume of a sphere/2

                                         = \frac{4}{3}πr³  /2

                                         =\frac{2}{3}πr³

from the question given, the diameter is 3.7 m, but diameter = 2×radius

radius = diameter /2   =  3.7/2 =1.85 m

π is a constant = 3.14

volume of a hemisphere = \frac{2}{3}πr³

                                          ≈  \frac{2}{3}×3.14 ×1.85³

                                           ≈13.3 m³

Therefore, volume of the hemisphere  ≈13.3 m³

3 0
3 years ago
IM IN NEED OF HELP ASAP!!
Lubov Fominskaja [6]

Answer:

B. \frac{14}{625}

Step-by-step explanation:

Total paper in the hat:

2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper

P(AB) = 7 / 25 x 2 / 25

A is the probability of pulling a purple paper

B is the probability of pulling a blue paper

8 0
1 year ago
Read 2 more answers
Mr. Holms used 4/5 of a carton of orange juice he used equal amount of the leftover juice for 2 servings what fraction of the wh
liq [111]

Answer:

Mr. Holms used 1/10 of the whole carton for each serving.

Step-by-step explanation:

Mr. Holms used 4/5 of the carton, which means he has 1/5 of the carton remaining from a whole carton and if he divides 1/5 among 2 servings he gets 1/5 divided by 2 is 1/10.

Check Your Answer: 4/5 divided among 2 servings would be 4/5+ 1/10 + 1/10 = 8/10 + 1/10 + 1/10 = 10/10 = 1 whole carton.

7 0
2 years ago
I lied the first time. This is the last problem lol.
viktelen [127]

Answer:

y=10

Step-by-step explanation:

A line is 180°

6x10=60

120+60=180

Hope this helps :)

6 0
3 years ago
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