Question

Solve the following pair of linear equations
3x + 2y = 11
5x - 2y = 13​

Answer 1

Answer:

Solve equation [2] for the variable x

[2] 5x = 2y + 13

[2] x = 2y/5 + 13/5

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

[1] 3•(2y/5+13/5) + 2y = 11

[1] 16y/5 = 16/5

[1] 16y = 16

// Solve equation [1] for the variable y

[1] 16y = 16

[1] y = 1

// By now we know this much :

x = 2y/5+13/5

y = 1

// Use the y value to solve for x

x = (2/5)(1)+13/5 = 3