Question
Asked Nov 20, 2019
14 views

ystem of equations

3x-2y=11

x-y=10

pairs given (13/4,1) (3,-1) (5,2) and (0,5/4). 

The solution(s) of the given system of equations is/are the ordered pair(s)

check_circle

Expert Answer

Step 1

Given:

3x-2y 11
x-y10
(131.(3,-1).(5,2) and 0,
Pairs
4
help_outline

Image Transcriptionclose

3x-2y 11 x-y10 (131.(3,-1).(5,2) and 0, Pairs 4

fullscreen
Step 2

Check for (13/4, 1):

Here, x = 13/4

So,

3x-2y 11
13
-2y 11
39
2y 11
4
39
-2y 11
4
44-39
-2y
4
-2y
5
У
x-y10
13
-y2
4
= 10
13
-y210
4
40-13
уз
In both equations the value ofy 1
13
,1is not a point lie on 3x-2y 11 and
So,
x-y10
help_outline

Image Transcriptionclose

3x-2y 11 13 -2y 11 39 2y 11 4 39 -2y 11 4 44-39 -2y 4 -2y 5 У x-y10 13 -y2 4 = 10 13 -y210 4 40-13 уз In both equations the value ofy 1 13 ,1is not a point lie on 3x-2y 11 and So, x-y10

fullscreen
Step 3

Similarly, check for (3, - 1):

H...

3x-2y 11
3(3)-2y 1
9-2y 11
-2y 11-9
-2y 2
y =1
3- y2 10
-y210-3
-y27
y
In both equations the value of y are not equal
So, (3,-1) is point lie on 3x -2y 11 but not lie
x -y10
help_outline

Image Transcriptionclose

3x-2y 11 3(3)-2y 1 9-2y 11 -2y 11-9 -2y 2 y =1 3- y2 10 -y210-3 -y27 y In both equations the value of y are not equal So, (3,-1) is point lie on 3x -2y 11 but not lie x -y10

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other