Answer:
{x,y} = {-2,7}
Explanation:
// Solve equation [2] for the variable y
[2] 4y = -9x + 10
[2] y = -9x/4 + 5/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-9x/4+5/2) = 0
[1] 5x/2 = -5
[1] 5x = -10
// Solve equation [1] for the variable x
[1] 5x = - 10
[1] x = - 2
// By now we know this much :
x = -2
y = -9x/4+5/2
// Use the x value to solve for y
y = -(9/4)(-2)+5/2 = 7
Solution :
{x,y} = {-2,7}