Question

Find the solution to the system of equations.
1 + 3y = 4
2r + 5y = 12

Answer 1

Answer: {x,y}={-1,2}

Explanation:

// Solve equation [2] for the variable x

[2] 2x = 5y - 12

[2] x = 5y/2 - 6

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

[1] 2•(5y/2-6) + 3y = 4

[1] 8y = 16

// Solve equation [1] for the variable y

[1] 8y = 16

[1] y = 2

// By now we know this much :

x = 5y/2-6

y = 2

// Use the y value to solve for x

x = (5/2)(2)-6 = -1

Solution :

{x,y} = {-1,2}