Question

Solve the system of equations
-3y+4x=13
-5y-6x=-67​

Answer 1

{x,y} = {67/16,-15/4}

Explanation:

// Solve equation [2] for the variable y

[2] 2y = -8x + 26

[2] y = -4x + 13

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

[1] 4x + 5•(-4x+13) = -2

[1] -16x = -67

// Solve equation [1] for the variable x

[1] 16x = 67

[1] x = 67/16

// By now we know this much :

x = 67/16

y = -4x+13

// Use the x value to solve for y

y = -4(67/16)+13 = -15/4