Answer:
(4, 7 )
Explanation:
given the 2 equations
3x - 8y + 44 = 0 → (1)
7x = 12y - 56 ( subtract 12y - 56 from bpth sides )
7x - 12y + 56 = 0 → (2)
multiplying (1) by 7 and (2) by - 3 and adding the result will eliminate x
21x - 56y + 308 = 0 → (3)
-21x + 36y - 168 = 0 → (4)
add (3) and (4) term by term to eliminate x
(21x - 21x) + (- 56y + 36y) + (308 - 168) = 0
0 - 20y + 140 = 0 ( subtract 140 from both sides )
- 20y = - 140 ( divide both sides by - 20 )
y = 7
substitute y = 7 into either of the 2 orinal equations and solve for x
substituting into (1)
3x - 8(7) + 44 = 0
3x - 56 + 44 = 0
3x - 12 = 0 ( add 12 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
solution is (4, 7 )