Solution:
Using Substitution Method:
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
get the value of x from Equation 2
x=3y-5 (Equation 3)
Put the value of x from Equation 3 in Equation 1
-4(3y-5)+7y=-5
-4(3y)+20+7y=-5
-12y+7y=-5-20
-5y=-25
Negative sign on both sides cancels each other
y=25/5
y=5
Putting value of y in equation 3
x=3(5)-5
x=15-5
x=10
Therefore, [x,y]=[10,5]
Using Elimination Method
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
Multiply equation 2 with -4 in order to eliminate the x term
-4(x-3y)=-5*4
-4x+12y=20 (Equation 3)
Adding Equation 1 and 3
-4x+7y=-5
-4x+12y=20
+ - = - (Change Of Sign with x and y terms)
-----------------
0x-5y = -25
-5y=-25
y=5
Substituting y’s value is Equation 1
-4x+7(5)=-5
-4x+35=-5
-4x=-40
Cancellation of negative sign on both sides
x=40/4
x=10
[x,y]=[10,5]
6- ounce packet rate = $0.72 .
In order to find the one ounce rate, we need to divide $0.72 by 6.
On dividing 0.72 by 6, we get $0.12.
<em>Therefore, first unit rate is $0.12 per ounce.</em>
3- ounces packet rate = $0.27.
In order to find the one ounce rate, we need to divide $0.27 by 3.
On dividing 0.27 by 3, we get $0.09.
<em>Therefore, second unit rate is $0.09 per ounce.</em>
<h3>So, we can say that each pair of rates is not equivalent. </h3>
Answer: d = 10
Step-by-step explanation:
Step-by-step explanation:
The formula for calculating distance between two points is given by :
d = 
= -3
= 5
= 11
= 5
substituting the values , we have
d = 
d = 
d = 
d = 
d = 
d = 10
12.50 x 8 = 100
100 x 3 = $300
so $275 for 3 months would be the better deal but i’m not sure if by each month u meant 3 months or the whole year. if the whole year was the case it would be
12.50 x 8 = 100
100 x 12 = $1,200
275 x 4 = $1,100
so in that case $275 for 3 months would still be the better deal.
1. The problem gives the following information: <span>Ashley said she drank 1/2 pints and Claire said she drank 0.7 pints.
2. Therefore, to solve this problem you must follow the proccedure that is shown below:
3. You must sum the amount of water that Ashley and Claire drank before the practice. Then, you have:
1/2 pints=0.5 pints (Ashley)
0.7 pints (Claire)
x=0.5 pints+0.7 pints
x=1.2 pints
</span><span>
How many pints of water did Ashley and Claire drink combined?
</span><span>
The answer is: 1.2 pints or 1 1/5 pints
</span>