Solve the following system of equations using the
1 answer:
Answer:
x = 3, y = - 1, z = 1
Step-by-step explanation:
listing the coefficients
1 - 2 1 6 ← R1
3 1 - 1 7 ← R2
4 - 1 2 15 ← R3
We require the first entry in R2 to be 0 while retaining R1 and the first 2 entries of R3 to be 0, thus
R2 - 3R1 and R3 - 4R1
1 - 2 1 6 ← R1
0 7 - 4 - 11 ← R2
0 7 - 2 - 9 ← R3
Now R3 - R2
1 - 2 1 6 ← R1
0 7 - 4 - 11 ← R2
0 0 2 2 ← R3
From R3
2z = 2 ⇒ z = 1
Substitute z = 1 into R2
7y - 4(1) = - 11
7y - 4 = - 11 ( add 4 to both sides )
7y = - 7 ⇒ y = - 1
Substitute y = - 1, x = 1 into R1
x - 2(- 1) + 1 = 6
x + 2 + 1 = 6
x + 3 = 6 ( subtract 3 from both sides )
x = 3
Solution is (3, - 1, 1 )
You might be interested in
It will take about 5.75 days. basicly 5 days and 18 hours.
divide hours by total, and then find out 75 percent of 24
Answer:
The answer is 1 and 1/12 you can’t simplify the problem but this is the answer
Step-by-step explanation:
Step-by-step explanation:
The scale factor is 12/6 = 10/5 = 2.
Answer:
110 feet
Step-by-step explanation:
The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)
Substitute the values:
A = 2 (5x5 + 3x5 + 3x5)
A = 2 (25 + 15 + 15)
A = 2 (25 + 15 + 15)
A = 2 (55)
A = 110
Answer:
81.2 feet (nearest tenth)
Step-by-step explanation: