Question

find x and y using substitution method 5x+3y=11 4x-y=2

Answer 1

Answer:

Solve equation for the variable y

y = 4x - 2

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

[1] 5x + 3•(4x-2) = 11

[1] 17x = 17

// Solve equation [1] for the variable x

[1] 17x = 17

[1] x = 1

// By now we know this much :

x = 1

y = 4x-2

// Use the x value to solve for y

y = 4(1)-2 = 2

Solution :

{x,y} = {1,2}