Answer:
[tex]{x, y} = {-\frac{2}{3}, \frac{5}{3}}[/tex]
Step-by-step explanation:
7x + 4y = 2
x + y = 1
// Solve equation [2] for the variable y
[2] y = -x + 1
// Plug this in for variable y in equation [1]
[1] 7x + 4•(-x +1) = 2
[1] 3x = -2
// Solve equation [1] for the variable x
[1] 3x = - 2
[1] x = - 2/3
// By now we know this much :
x = -2/3
y = -x+1
// Use the x value to solve for y
y = -(-2/3)+1 = 5/3
Solution :
{x,y} = {-2/3,5/3}
