All categories

3 years ago

Solve the system using substitution. 3x+5y=15 2x+4y=8

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

Answer:

x=10

y=-3

Step-by-step explanation:

3x + 5y= 15...eqn. 1

2x + 4y= 8...eqn. 2

multiply eqn. 1 by 2 and eqn. 2 by 3

6x + 10y = 30...eqn. 3

6x + 12y = 24...eqn. 4

0 - 2y = 6

divide both sides by the coefficient of y which is -2

- 2y = 6

- 2 -2

y= -3

Put y= -3 into eqn. 1

3x + 5(-3) = 15

3x - 15 = 15

3x =15 + 15

3x = 30

3 3

x = 10

Therefore X= 10 and Y= -3

You might be interested in

Harish

Artist 52 [7]

Answer:

Step-by-step explanation:

Distance traveled in $1\frac{4}{5}$ hours = $\frac{3}{10}$

Distance traveled in 1 hour = $\frac{3}{10}$ ÷ $1\frac{4}{5}$

$=\frac{3}{10}$ ÷ $\frac{9}{5}$

$= \frac{3}{10}*\frac{5}{9}\\\\=\frac{1}{2}*\frac{1}{3}\\\\=\frac{1}{6}$

distance traveled in 3 1/5 hours = $\frac{1}{6}*3\frac{1}{5}$

= $=\frac{1}{6}*\frac{8}{5}\\\\=\frac{1}{3}*\frac{4}{5}\\\\=\frac{4}{15}$

5 0

2 years ago

Which number is NOT an integer?

FinnZ [79.3K]

I believe the answer is C

8 0

3 years ago

Read 2 more answers

Which of the fallowing are proportions?

vovikov84 [41]

25/10=5/2

and

3/4=15/20

4 0

3 years ago

Read 2 more answers

Please help my solve this problem. :(

solniwko [45]

The answer would be 90

8 0

3 years ago

Ben is baking a cake. His recipe calls for 3/4 cups of sugar and 1/3 teaspoons of butter. How much sugar does Ben need per teasp

Alika [10]

Answer:

Improper fraction is 9/4 cups, Mixed number is 2 1/4 cups

9/4 cups of sugar or 2 1/4 cups of sugar

Step-by-step explanation:

36 tsp are in 3/4 of a cup

so you have 1/3 : 36

1/3 is less than a whole teaspoon, so the amount of sugar would be greater than 3/4 cups

1/4 cups of sugar: 1 tsp of butter; or 108 teaspoons of sugar: 1 teaspoon of butter

Hope this helps!

Plz name brainliest if possible!

4 0

3 years ago