System of linear equations with constants appended [closed]

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How do you solve for $x$ and $y$, when there is a constant tagged on? $u, w, a, b, c, d$ are known.

$$
begincases
u = a x + b y + 1,\
w = c x + d y + 1.
endcases
$$

linear-algebra

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edited Jul 24 at 5:16

Anton Grudkin

2,111719

asked Jul 24 at 4:48

ina

2501213

closed as off-topic by Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone Jul 24 at 11:01

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  c,d as well? $$
  – Ian
  Jul 24 at 4:49
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  If $u$ and $w$ are known, then they’re also constants. Move all of the constant terms to one side and solve as usual.
  – amd
  Jul 24 at 5:27
  

  
  
  
  

add a comment | 

up vote
-2
down vote

favorite

How do you solve for $x$ and $y$, when there is a constant tagged on? $u, w, a, b, c, d$ are known.

$$
begincases
u = a x + b y + 1,\
w = c x + d y + 1.
endcases
$$

linear-algebra

share|cite|improve this question

edited Jul 24 at 5:16

Anton Grudkin

2,111719

asked Jul 24 at 4:48

ina

2501213

closed as off-topic by Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone Jul 24 at 11:01

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  c,d as well? $$
  – Ian
  Jul 24 at 4:49
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  If $u$ and $w$ are known, then they’re also constants. Move all of the constant terms to one side and solve as usual.
  – amd
  Jul 24 at 5:27
  

  
  
  
  

add a comment | 

up vote
-2
down vote

favorite

up vote
-2
down vote

favorite

How do you solve for $x$ and $y$, when there is a constant tagged on? $u, w, a, b, c, d$ are known.

$$
begincases
u = a x + b y + 1,\
w = c x + d y + 1.
endcases
$$

linear-algebra

share|cite|improve this question

edited Jul 24 at 5:16

Anton Grudkin

2,111719

asked Jul 24 at 4:48

ina

2501213

How do you solve for $x$ and $y$, when there is a constant tagged on? $u, w, a, b, c, d$ are known.

$$
begincases
u = a x + b y + 1,\
w = c x + d y + 1.
endcases
$$

linear-algebra

share|cite|improve this question

edited Jul 24 at 5:16

Anton Grudkin

2,111719

asked Jul 24 at 4:48

ina

2501213

share|cite|improve this question

share|cite|improve this question

edited Jul 24 at 5:16

Anton Grudkin

2,111719

edited Jul 24 at 5:16

Anton Grudkin

2,111719

edited Jul 24 at 5:16

Anton Grudkin

2,111719

2,111719

asked Jul 24 at 4:48

ina

2501213

asked Jul 24 at 4:48

ina

2501213

asked Jul 24 at 4:48

ina

2501213

2501213

closed as off-topic by Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone Jul 24 at 11:01

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone

If this question can be reworded to fit the rules in the help center, please edit the question.

closed as off-topic by Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone Jul 24 at 11:01

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Parcly Taxel, Leucippus, Taroccoesbrocco, José Carlos Santos, Tyrone

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  c,d as well? $$
  – Ian
  Jul 24 at 4:49
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  If $u$ and $w$ are known, then they’re also constants. Move all of the constant terms to one side and solve as usual.
  – amd
  Jul 24 at 5:27
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  c,d as well? $$
  – Ian
  Jul 24 at 4:49
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  If $u$ and $w$ are known, then they’re also constants. Move all of the constant terms to one side and solve as usual.
  – amd
  Jul 24 at 5:27
  

  
  
  
  

2

2

c,d as well? $$
– Ian
Jul 24 at 4:49

c,d as well? $$
– Ian
Jul 24 at 4:49

1

1

If $u$ and $w$ are known, then they’re also constants. Move all of the constant terms to one side and solve as usual.
– amd
Jul 24 at 5:27

If $u$ and $w$ are known, then they’re also constants. Move all of the constant terms to one side and solve as usual.
– amd
Jul 24 at 5:27

add a comment | 

1 Answer
1

active

oldest

votes

up vote
2
down vote

Why not the usual
$$
beginpmatrix
a & b\
c & d
endpmatrix^-1
beginpmatrixu-1 \ w-1endpmatrix
$$

share|cite|improve this answer

answered Jul 24 at 4:59

gt6989b

30.3k22148

add a comment | 

1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
2
down vote

Why not the usual
$$
beginpmatrix
a & b\
c & d
endpmatrix^-1
beginpmatrixu-1 \ w-1endpmatrix
$$

share|cite|improve this answer

answered Jul 24 at 4:59

gt6989b

30.3k22148

add a comment | 

up vote
2
down vote

Why not the usual
$$
beginpmatrix
a & b\
c & d
endpmatrix^-1
beginpmatrixu-1 \ w-1endpmatrix
$$

share|cite|improve this answer

answered Jul 24 at 4:59

gt6989b

30.3k22148

add a comment | 

up vote
2
down vote

up vote
2
down vote

Why not the usual
$$
beginpmatrix
a & b\
c & d
endpmatrix^-1
beginpmatrixu-1 \ w-1endpmatrix
$$

share|cite|improve this answer

answered Jul 24 at 4:59

gt6989b

30.3k22148

Why not the usual
$$
beginpmatrix
a & b\
c & d
endpmatrix^-1
beginpmatrixu-1 \ w-1endpmatrix
$$

share|cite|improve this answer

answered Jul 24 at 4:59

gt6989b

30.3k22148

share|cite|improve this answer

share|cite|improve this answer

answered Jul 24 at 4:59

gt6989b

30.3k22148

answered Jul 24 at 4:59

gt6989b

30.3k22148

answered Jul 24 at 4:59

gt6989b

30.3k22148

30.3k22148

add a comment | 

add a comment |