Question

Find all possible solutions of the following pair of linear equation 5x+6y= 16 and 2x-2y=2

Answer 1

Answer:

{x,y}={4/5,-2}

Step-by-step explanation:

(1)

(2)Step by Step Solution

System of Linear Equations entered :

  [1]    5x - 6y = 16

  [2]    5x + y = 2

Graphic Representation of the Equations :

   -6y + 5x = 16        y + 5x = 2  

 

Solve by Substitution :

// Solve equation [2] for the variable  y  

 [2]    y = -5x + 2

// Plug this in for variable  y  in equation [1]

  [1]    5x - 6•(-5x+2) = 16

  [1]    35x = 28

// Solve equation [1] for the variable  x  

  [1]    35x = 28

  [1]    x = 4/5

// By now we know this much :

   x = 4/5

   y = -5x+2

// Use the  x  value to solve for  y  

   y = -5(4/5)+2 = -2

Solution :

{x,y} = {4/5,-2}

Answer 2

Answer:

x= -4 , y= 6

Step-by-step explanation:

By eliminating

step 1

2(5x+6y=16) = 10x +12y=32

5(2x-2y=2). = 10x -10y =10

_. +. _

answer. 2y =12

y= 6

put the value of y in EQ 1

5x+6y= 16

5x+6(6)=16

5x+36=16

5x=16-36

x =-20/5

x= -4