Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
Answer:
kiwis = $1.5
mangoes = $2.25
Step-by-step explanation:
Two equations can be derived from the question
2m + 3k = 9 equation 1
5m + 2k = 14.25 equation 2
m = mangoes
k = kiwis
multiply equation 1 by 5 and 2 by 2
10m + 15k = 45 equation 3
10m +4k = 28.5 equation 4
Subtract equation 4 from 3
11k = 16.5
k = 1.5
Substitute for k in equation 1
2m + 3(1.5) = 9
2m + 4.5 = 9
2m = 4.5
m = 2.25
Answer:
16x-35
Step-by-step explanation:
Firstly, take the 4x in the first parenthesis and multiply it by the 4x and the -5 in the second parenthesis.
Second, multiply the +5 by the 4x and the -5 in the second parenthesis.
Finally, take both answers and add them together.
Answer:
$15.8666666667 an hour on average
Step-by-step explanation:
14/7.5=1.8666666666
this means that for every hour the proofreader is working he proof reads 1.8666667 pages since he makes 8.5 for every page we have to multiply the pages per hour times the salary of every page to get his average hourly wage
1.8666666666 * 8.5 = $15.8666666667 an hour on average
Answer:
4
Step-by-step explanation:
