Question

If you were to use the substitution method to solve the following system, choose the new system of equations that would result if x was isolated in the second equation.

3x + y + 2z = 1
x + 2y – z = –8
3x – y – 3z = 18



–5y + 5z = 25
–7y = 42

–5x – 5z = –10
6x – z = 19

7x + 3z = –10
0x – 5z = 19

7y – z = 25
5y – 6z = 42

If you were to use the substitution method to solve the following system, choose the new system of equations that would result if x was isolated in the second equation.

3x + y + 2z = 1
x + 2y – z = –8
3x – y – 3z = 18



–5y + 5z = 25
–7y = 42

–5x – 5z = –10
6x – z = 19

7x + 3z = –10
0x – 5z = 19

7y – z = 25
5y – 6z = 42

@Mathematics

Answer 1

Step 1. Isolate x in second equation.
x=-8+z-2y using algebra.
Step 2. substitute this new value of x in first and third equation.
First equation becomes 3(-8+z-2y)+y+2z=1
Third equation becomes 3(-8+z-2y)-y-3z=18
Step 3. Now simplify those equations.
first one first:-24+3z-6y+y+2z=1
-5y+5z=25
third one next
-24+3z-6y-y-3z=18
-7y=42

There you have it: -5y+5z=25 and -7y=42
The first two.

Answer 2

radar is correct.

Answer 3

Hello robtobey, how are things in CA?

Answer 4

Raining today. Otherwise everything is normal.

Answer 5

It has turned of windy and chilly, but lots of sunshine.

Answer 6

Where are you located again?

Answer 7

the Ozarks of MO

Answer 8

What is the highest elevation in your immediate area?

Answer 9

Tom Sauk Mt. however only 1772 ft. Doesn't compare to the sierrias or cascades etc.

Answer 10

Just checked out Truckee, CA at 5829 ft and it is snowing there today.

Answer 11

Is that up near Lake Tahoe?

Answer 12

It is on interstate 80 on the way to Reno, NV

Answer 13

going to pop some popcorn and watch some TV with my wife. CUL

Answer 14

Nice talking to you.

Answer 15

checking out you link. Good to hear from you.