Answer:
1 x=-2.5 y = -5.5
2. x=5 y=1
Step-by-step explanation:
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
Multiply the second equation by -1
-1*(3x-y)=-1(-2)
-3x +y = 2
Now add the first equation to the modified second equation
5x-y=-7
-3x +y = 2
------------------
2x = -5
Divide each side by 2
2x/2 = -5/2
x = -2.5
Now we need to find y
-3x+y =2
-3(-2.5) +y =2
7.5 +y =2
Subtract 7.5 from each side
7.5 -7.5 +y =2-7.5
y = -5.5
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
Divide the second equation by 2
8x/2+6y/2=46/2
4x+3y =23
Multiply the first equation by 4
4 (5x+7y)=32*4
20x+28y = 128
Now multiply the modified 2nd equation by -5
-5(4x+3y )=-5(23
)
-20x -15y = -115
Lets add the new equations together to eliminate x
20x+28y = 128
-20x -15y = -115
---------------------
13y = 13
Divide each side by 13
13y/13 =13/13
y=1
Now substitute back in to find x
5x+7y=32
5x +7(1) =32
5x +7 =32
Subtract 7 from each side
5x+7-7 =32-7
5x =25
Divide by 5
5x/5 =25/5
x=5
The person on top might be a scam seen the same url too many times. J
If K is midpoint of JL then JK = 0.5JL
JL = 4x - 2; JK = 7
The equation:
0.5(4x - 2) = 7
2x - 1 = 7 |add 1 to both sides
2x = 8 |divide both sides by 2
<u>x = 4</u>
<u>JL</u> = 4(4) - 2 = 16 - 2 = <u>14</u>
<u>KL</u> = JK =<u> 7</u>
Answer:
75 minutes
Step-by-step explanation:
Assuming that Clare will not take a break throughout the session
10 books=1 minute
750 books= x minutes
Cross multiplying to find the value of x
10x books=750 books minutes
Making x the subject
x=750 books minutes/(10 books)
x=75 minutes
This translates to 1 hours and 15 minutes
Therefore, Clare will require 75 minutes
