Resuelve el siguiente sistemas de ecuaciones por el método de sustitución
83x - 20y = 590
60x + 18y = 816

x=10 and y=12

Step-by-step explanation:

To solve this quadratic equation we will use two method

1. Elimination method

2. substitution method

first of we use elimination method

we either eliminate x or y

we will be eliminating y

83x-20y=590(eq1)

60x+18y=816(eq2)

y will be eliminated by multiplying

(eq1) by 9

(eq2) by 10

which will give

747x-180y=5310(eq3)

600x-180y=8160(eq4)

see that y has the same value that is (-180y and +180y)

so to eliminate y completely you have to add eq1 and eq2 because if you don't add them together you wont eliminate y

747x-180y=5310

+

600x+180y=8160

=

1347x+0=13470

1347x=13470

x=13470/1347

x=10

Now to find y we use substitution method ie put x=10 in any of the equation above(eq1,eq2,eq3, eq4) you will get the same answer

eq1

83x-20y=590 where (x=10)

83(10)-20y =590

830-20y=590

like terms

-20y=590-830

-20y= -240

divide both sides with -20

y= -240/-20

y=12

OR

eq2

60x+18y=816 where x=10

60(10)+18y=816

600+18y=816

like term

18y=816-600

18y=216

y=216/18

y= 12

or eq3 or eq4 you will still get the same answer

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer: -0.5 would be the most likley outcome

step-by-step explanation: