Answer:
(1, 3 )
Explanation:
7x + 3y = 16 → (1)
2x + 9y = 29 → (2)
multiplying (1) by - 3 and adding to (2) will eliminate y
- 21x - 9y = - 48 → (3)
add (2) and (3) term by term to eliminate y
(2x - 21x) + (9y - 9y) = 29 - 48
- 19x + 0 = - 19
- 19x = - 19 ( divide both sides by - 19 )
x = 1
substitute x = 1 into either of the 2 original equations and solve for y
substituting into (1)
7(1) + 3y = 16
7 + 3y = 16 ( subtract 7 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (1, 3 )