Solve the equation to find the value of m and n.
2m + 3n = -5
5m + 3n = 1
2 answers:
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
Step-by-step explanation:
2m + 3n = -5
5m + 3n = 1
(Multiply each equation by a suitable number so that the two equations have the same leading coefficient)
6m + 9n = -15
15m + 9n = 3
(Subtract the second equation from the first)
15m- 6m = -15-3
-9m= -18
-9m/-9= -18/-9
m= 2
(Solve this new equation for m)
5(2) +3n = 1
10+3n=1
3n=1-10
3n=-9
3n/3 = -9/3
n= -3
(Substitute m = 2 into either Equation 1 or Equation 2 above and solve for n )
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