Answer:
m = 3 , n = 2
Explanation:
given the equations
4m + 3n = 18 → (1)
3m - 2n = 5 → (2)
multiplying (1) by 2 and (2) by 3 and adding the result will eliminate n
8m + 6n = 36 → (3)
9m - 6n = 15 → (4)
add (3) and (4) term by term on both sides to eliminate n
(8m + 9m ) + (6n - 6n) = 36 + 15
17m + 0 = 51
17m = 51 ( divide both sides by 17 )
m = 3
substitute m = 3 into either of the 2 original equations and solve for n
substituting into (1)
4(3) + 3n = 18
12 + 3n = 18 ( subtract 12 from both sides )
3n = 6 ( divide both sides by 3 )
n = 2
solution to the simultaneous equations is m = 3 , n = 2