2x-3y+13=0 3x-2y+12=0 Solve by substitution method
Answers
Answered by
16
Hey dear...
2x-3y+13=0;3x-2y-12=0
Solution :
{x,y} = {62/5,63/5}
System of Linear Equations entered :
[1] 2x-3y+13=0 [2] 3x-2y-12=0
Equations Simplified or Rearranged :
[1] 2x - 3y = -13 [2] 3x - 2y = 12
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 2y + 12 [2] x = 2y/3 + 4
// Plug this in for variable x in equation [1]
[1] 2•(2y/3+4) - 3y = -13 [1] - 5y/3 = -21 [1] - 5y = -63
// Solve equation [1] for the variable y
[1] 5y = 63 [1] y = 63/5
// By now we know this much :
x = 2y/3+4 y = 63/5
// Use the y value to solve for x
x = (2/3)(63/5)+4 = 62/5
Solution :
{x,y} = {62/5,63/5} .
Hope it helps you!!!!!!
2x-3y+13=0;3x-2y-12=0
Solution :
{x,y} = {62/5,63/5}
System of Linear Equations entered :
[1] 2x-3y+13=0 [2] 3x-2y-12=0
Equations Simplified or Rearranged :
[1] 2x - 3y = -13 [2] 3x - 2y = 12
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 2y + 12 [2] x = 2y/3 + 4
// Plug this in for variable x in equation [1]
[1] 2•(2y/3+4) - 3y = -13 [1] - 5y/3 = -21 [1] - 5y = -63
// Solve equation [1] for the variable y
[1] 5y = 63 [1] y = 63/5
// By now we know this much :
x = 2y/3+4 y = 63/5
// Use the y value to solve for x
x = (2/3)(63/5)+4 = 62/5
Solution :
{x,y} = {62/5,63/5} .
Hope it helps you!!!!!!
Answered by
1
Answer:
Step-by-step explanation:
2x+3y+5=0
3x-2y-12=O
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