Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
Answer:
Hence he will be 4 large containers and 4 small containers
Step-by-step explanation:
Given data
Let the number of small containers be x
and the number of large containers be y
x+y= 8---------1
also
2x+4y= 24-----2
the system of equation to solve the problem is
x+y= 8
2x+4y= 24
from 1
x=8-y
put this in 2
2(8-y)+4y= 24
16-2y+4y= 24
2y= 24-16
2y= 8
y= 8/2
y= 4
put y= 4 in 1
x+4=8
x= 8-4
x= 4
Hence he will be 4 large containers and 4 small containers
For this case we have two options:
Option A:
Tomato juice, 48 oz. can for $ 2.49.
The unit price is:
(2.49) / (48) = 0.05 cents per oz.
Option B:
Tomato juice, 6-pack of 10 oz. cans for $ 3.99.
The unit price is:
(3.99) / (6 * 10) = 0.07 cents per oz.
Answer:
The best buy would be:
Tomato juice, 48 oz. can for $ 2.49.
