(x, y ) = (2, - 7 )
given the 2 equations
10x + y = 13 → (1)
- 4x - 8y = 48 → (2)
multiply (1) by 8
80x + 8y = 104 → (3)
add (2) and (3) term by term to eliminate the term in y
(- 4x + 80x ) + (- 8y + 8y ) = (48 + 104 )
76x = 152 ( divide both sides by 76 )
x = 2
substitute x = 2 in either (1) or (2) and solve for y
(1) → 20 + y = 13 ( subtract 20 from both sides )
y = - 7
solution is (x, y ) = (2, - 7 )
