Find the ordered pair \((x,y)\) in this system of equations:
\(\frac{5}{2}x-2y=-12+2x\)
\(5x+11y=97-7x+4y\)
Simplify these as
(1/2)x - 2y = -12 (1)
12x + 7y = 97 (2)
Multiply (1) through by 2
x - 4y = -24 → x = 4y - 24 (3)
Sub (3) into (2) for x
12 (4y -24) + 7y = 97
48y - 288 +7y = 97
55y = 385
y = 385/ 55 = 7
x = 4(7) - 24 = 4
(x, y) = (4, 7)
+289 
