All categories

3 years ago

6y = 12x + 36

Mathematics

1 answer:

Norma-Jean [14]3 years ago

5 0

Equation 1: 6y = 12x + 36

Equation 2: 15y = 45x + 60

Solve equation 1 for y by dividing both sides by 6 to get: y = 2x + 6

Replace y in equation 2:

15(2x + 6) = 45x + 60

Simplify:

30x + 90 = 45x + 60

Subtract 45x from both sides:

-15x + 80 = 60

Subtract 90 from both sides

-15x = -30

Divide both sides by -15:

X = 2

Now replace x in the first equation and solve for y:

6y = 12(2) + 36

6y = 24 + 36

6y = 60

Divide both sides by 6

Y = 10

The solution is x = 2, y = 10

The answer is there is only one solution.

You might be interested in

Which of the following can you determine, when you use deduction and start from a given set of rules and conditions?

adell [148]

Deductive reasoning involves starting from a set of rules and conditions to establish what must be true. It involves elimination method of any scenarios given.

From the definition of deductive reasoning, A. is the correct answer to the current question.

3 0

3 years ago

Read 2 more answers

Geometry test please help. 3). Find x 4). find m 5). Find m < y 6.) Find m

Mrac [35]

Answer:

x = 30

m<Y = 60

m<Z = 60

m<X = 60

Step-by-step explanation:

All of this should add up to 180 so...

2x + 2x + 3x - 30 = 180 (collect like terms)

7x - 30 = 180 (add 30 on both sides)

7x = 210 (divide by 7 on both sides)

x = 30

PLUG IN

2(30) = 60

3(30) - 30

90 - 30 = 60

m<Y = 60

m<Z = 60

m<X = 60

equilateral triangle

Hope this helps ya! Keep smiling!

7 0

3 years ago

PLZ HELP ASAP In golf, the par is the expected number of strokes needed to sink the ball in the hole. The winning player uses th

Charra [1.4K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 pl

Anna35 [415]

Part A:

Given that forty percent of the players on a soccer team are experienced players.

Then, the original ratio of experienced to total players is given by 40/100 = 4/10

Part B:

Given that the expression $\frac{100(x+4)}{x+10}$ represents the percent of experienced players on the team after the coach adds x experienced players.

Then, the final ratio of experienced to total players is given by:

$\frac{\frac{100(x+4)}{x+10}}{100} =\frac{x+4}{x+10}$

Part C:

Given that there are 10 players on the team now, and that the coach adds x experienced player, then the number of players on the team now is given by:

10 + x.

5 0

4 years ago

Marguerite is building a box from strips of wood. She needs 78 pieces of wood that are each 29 cantimeters long. The wood comes

Anarel [89]

She will need 3.77 pieces of wood because 1 piece is 6m which is 600 cm and she need 78 pieces of 29 cm so 78*29=2262 then you divide the by 600 and that gives you 3.77 so she realy need 4 sorry i f i got it wrong.

the answer either 3.77

or 4

7 0

4 years ago