5m - 3n = 19 ; m - 6n = -7
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Answered by
38
5m - 3n = 19 (equation 1)
m - 6n = -7 (equation 2)
Substitution Method:
From equation 2,
m - 6n = -7
m = 6n - 7 (equation 3)
Substitute equation 3 into equation 1,
5 (6n - 7) - 3n = 19
30n - 35 -3n = 19
27n - 35 = 19
27n = 19 + 35
n = 2
Substitute n = 2 into equation 3,
m = 6 (2) - 7
m = 5
Hence, n is 2 and m is 5.
Answered by
10
Answer:
5m – 3n = 19 .....(I)
m – 6n = –7 .....(II)
Multiplying (I) with 2 we get
10m – 6n = 38 .....(III)
m – 6n = –7 .....(IV)
Subtracting (IV) from (III) we get
10m-m-6n-(-6n)=38-(-7)
⇒9m=45
⇒m=45/9
=5
Putting the value of m = 5 in (II) we get
5-6n=-7⇒-6n=-7-5
⇒-6n=-12
⇒n=-12/-6
=2
Thus, (m, n) = (5, 2).
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