All categories

3 years ago

Solve the system by elimination. (Please explain how to do it)

Mathematics

1 answer:

Naddika [18.5K]3 years ago

3 0

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

Note that the matrix is in echelon form now. The next steps are for back substitution.

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

x = -2

y = 5

z = -2

You might be interested in

ratelena [41]

Amount Financed: $2,650
Finance Charge: $484.69
Number of Payments: 36

(Finance Charge)/(Amount Financed)*100$=($484.69)/($2,650)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1829)*100$
(Finance Charge)/(Amount Financed)*100$=$18.29

In the row of number of Payments 36, we look for:
(Finance Charge)/(Amount Financed)*100$=$18.29, and we see to which annual porcentage rate it corresponds in the first row

Answer: 11.25%

7 0

3 years ago

Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of penn

Aneli [31]

Answer:

11 pennies and 9 nickels

Step-by-step explanation:

Set up a system of equations where p is the number of pennies and n is the number of nickels:

p + n = 20

0.01p + 0.05n = 0.56

Solve by substitution by rearranging the first equation:

p + n = 20

p = 20 - n

Then, plug this in as p into the second equation, and solve for n:

0.01p + 0.05n = 0.56

0.01(20 - n) + 0.05n = 0.56

0.2 - 0.01n + 0.05n = 0.56

0.2 + 0.04n = 0.56

0.04n = 0.36

n = 9

Then, plug this into the first equation to solve for p:

p + n = 20

p + 9 = 20

p = 11

So, Jayden has 11 pennies and 9 nickels

5 0

3 years ago

25 points!! please help!! will mark Brainliest!!!

zmey [24]

Answer:

The answer 192 ft^3

Step-by-step explanation:

This is because volume is length times width times height. Therefore, multiplying those three numbers gets you 192.

4 0

3 years ago

-3a + 4 = -14 What the answer to this

tia_tia [17]

Answer:

-6

Step-by-step explanation:

-3a + 4 = -14

-3a = -14 - 4

-3a = -18

a = -18 / 3

a = -6

5 0

3 years ago

Read 2 more answers

What equation describes a line that has a slope of 4/5 and a y-intercept of 2/5

boyakko [2]

Answer:

y = 4/5 x + 2/5

Step-by-step explanation:

3 0

3 years ago