What is x+y=3 2x+4y=8

Answers

Answer 1
Answer: x + y = 3
2x + 4y = 8

This is a system of equations. You can solve it using elimination. Start by multiplying the top equation by -2.
(x * -2) + (y * -2) = (3 * -2)
-2x - 2y = -6

Now add that and the bottom equation. This will cancel out x.

     -2x - 2y = -6
+    2x + 4y = 8
-----------------------
             2y = 2

Solve for y.
2y = 2
y = 2/2
y = 1

Now plug 1 in for y in the first equation.

x + y = 3
x + 1 = 3

Solve for x.

x + 1 = 3
x = 3 - 1
x = 2

So x = 2 and y = 1.

Related Questions

Which translation maps the graph of the function f(x)=x^2 onto the function g(x)=x^2+2x+6A. Left 1 unit, up 5B. Right 1 unit. Up 5C. Left 2 units. Up 2 D. Right 2 units. Up 2
The inside of the container is 50 cm long, 20 cm wide, and 25 cm tall. How far from the top of the container is the surface of the water?
Enter the values for a and b that complete the sum:3/x + 5/x^{2} =ax+b/x^{2}
Find the value of y when x equals 1, 9x+7y=-12
9^x=27^(x+2)how do I do that? I don't get how to do it with different bases

Factor
3x ^2 +20x+12

Answers

3x^2+20x+12=3x^2+18x+2x+12\n\n=3x(x+6)+2(x+6)=(x+6)(3x+2)

An oil refinery produces gasoline from crude oil. For every 10,000 barrels of crude oil supplied, the refinery can produce 6,500 barrels of gasoline. How many barrels of gasoline can be produced from 3,500 barrels of crude oil?

Answers

2,275 barrels of refined oil will be produced from 3,500 barrels of crude oil.


with the information that from 10,000 barrels of crude oil, 6,500 barrels of refined oil are produced, it immediately pops out that from x amount of crude oil, 65% will be refined.

now we need to find what is 65% of 3,500

(65)/(100) = (x)/(3,500)
to find x, we multiply 65 × 3,500 and that amounts to 227,500
that then is divided by 100 so 227,500 ÷ 100 = 2,275

10000 barrels of crude oil produces 6500 barrels gasoline 
1 barrel of crude oil will produce 6500÷10000 barrels of gasoline 
3500 barrels of crude oil will produce 6500 × 3500 ÷10000 barrels 
= 3500 barrels of crude oil produce 2275 barrels of gasoline

A square piece of paper has a side measure of 6 inches. What is the perimeter of thepaper?
CLEAR
CHECK
12 inches
18 inches
24 inches
36 inches
What is the answer

Answers

Answer: 24 inches

Step-by-step explanation:square has 4 sides, so you can do 6+6+6+6 or 6x4 and you get 24

Answer:

24

Step-by-step explanation:

each side of the square is equal, 6 + 6 + 6 + 6 = 24

Please help if you can!! I would appreciate it alot!People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.A: number of cars; money raised; 30 to 100 cars; $600 to $2000
B: money raised; number of cars; 30 to 100 cars; $600 to $2000
C: number of cars; money raised; $600 to $2000; 30 to 100 cars
D: money raised; number of cars; $600 to $2000; 30 to 100 cars

Answers

independent variable = number of cars with domain 30 to 100 cars
dependent variable = moner raised with range $600 to $2000

Suppose you have 52 feet of fencing to enclose a rectangular dog pen. where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

Answers

Answer:

Width which gives maximum area = 13 feet

Maximum Area = 169 feet^2

Step-by-step explanation:

Given: 52 feet of fencing means Perimeter of rectangular dog pen.

If Total length of the boundary of rectangle (.i.e., Perimeter) is fixed then the rectangle with equal sides has the maximum area.

Width = x (given)

for maximum area let length = x

Perimeter of rectangle = 52 feet

2 × (Length + Width) = 52

2 × ( x + x ) = 52

2 × ( 2x ) = 52

4x = 52

x = (52)/(4)

x = 13 feet.

Maximum Area = Length × Width

                          = 13 × 13

                          = 169 feet^2

Width which gives maximum area = 13 feet

Maximum Area = 169 feet^2

Maximum Area = 169 feet^2