Answer:
{x,y}={-4,-1}
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y - 8
[2] x = 4y/3 - 8/3
// Plug this in for variable x in equation [1]
[1] 2•(4y/3-8/3) + 5y = -13
[1] 23y/3 = -23/3
[1] 23y = -23
// Solve equation [1] for the variable y
[1] 23y = - 23
[1] y = - 1
// By now we know this much :
x = 4y/3-8/3
y = -1
// Use the y value to solve for x
x = (4/3)(-1)-8/3 = -4
Solution :
{x,y} = {-4,-1}
