Solve the system: 2x+6y=36 x+4y=20

Mathematics

1 answer:

Assoli18 [71]3 years ago

5 0

Let's solve this problem step-by-step

Let's set:

2x + 6y = 36 -- equation 1

x + 4y = 20 -- equation 2

(equation 2) * 2

2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

2y = 4

y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

x + 4(2) = 20

x = 20 - 8

x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

$2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20$

Answer: x = 12 and y = 2

Hope that helps!

You might be interested in

On a map, the distance between two buildings is 5.4 centimeters. The actual distance between the two buildings is 270 meters. Wh

BARSIC [14]

5.4 cm on map represents 270 m 5.4 cm on map represents 27000 cm 1 cm on map represents 27000/5.4 = 5000 cm = 50m

5 0

3 years ago

Can someone help me with this please??

Evgen [1.6K]

Answer:

z=20.8

x=16.97

y=12

Step-by-step explanation:

The triangle on the right is a 30,60,90 triangle, a special right triangle with simple rules to find the side lengths. sides A,B, and C where C is the hypotenuse (24 in your diagram). The short side A is= 1/2 of side C (12 in your diagram). The long side B is= side A*√3 (20.8 in your diagram).

The triangle on the left is another special right triangle called a 45,45,90. The rules for this triangle are C= A*√2, and B=A. Because of the rules in the 30,60,90 triangle, we know that side A is 12. This means that side B (y)=12. Side C (x)= 16.97.

Hope this helped! Sorry if my explanation is confusing, but the rules for special right triangles can be easily found online and then calculated :)

4 0

4 years ago

Mark sold 218 tickets for the school play and made $1,363. Adult tickets are $8 and

Rom4ik [11]

Answer: 91

Step-by-step explanation:

Let adults tickets be a

Let students ticket be b.

The information in the question can be presented as an equation as:

a + b = 218 .......... i

8a + 5b = 1363 ......... ii