So
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
the 2 last equations look perfect for canceling each other so add them together
-2x-5y-2z=12
<u>-2x+5y+2z=4 +</u>
<u />-4x+0y+0z=16
-4x=16
divide both sides by 4
-x=4
multiply -1
x=-4
now we have
-4x-5y-z=18
-2x+5y+2z=4
add them together
-6x+0y+z=22
but x=-4 so
-6(-4)+z=22
24+z=22
subtract 24 from both sides
z =-2
subsitute into any equation
-2x-5y-2z=12
x=-4
z=-2
-2(-4)-5y-2(-2)=12
8-5y+4=12
12-5y=12
subtract 12 from both sides
-5y=0
y=0
x=-4
y=0
z=-2
7/ (3*7)=
(7:7)/ (7*3): 7:)
(7:7):(21:7=
answer 1/3 or do you want full explanation of each step?
Answer:
62.8% OR 0.628
Step-by-step explanation:
11 hours playing video games
11 hours on the Internet
11 + 11 = 22
5 hours of free time each day
7 days in a week
5 x 7 = 35
22/35 hours are spent
That is 0.62857142857 or I just mathmatically rounded to 0.628
0.628 into a fraction is 62.8%
Answer:
8 3/
4
Step-by-step explanation:
3 1/
2
×
2 1
/2
=
7 × 5
2 × 2
=
35
/4
=
8 3
/4
Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4
