Question

3x-4y=7,-3x+4y=2
system of equations
step by step

Answer 1

{x,y} = {1,1}

Explanation:

// Solve equation [2] for the variable x

[2] 3x = 4y - 1

[2] x = 4y/3 - 1/3

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

[1] 3•(4y/3-1/3) + 4y = 7

[1] 8y = 8

// Solve equation [1] for the variable y

[1] 8y = 8

[1] y = 1

// By now we know this much :

x = 4y/3-1/3

y = 1

// Use the y value to solve for x

x = (4/3)(1)-1/3 = 1

Solution :

{x,y} = {1,1}