Question

5m-3n=19:m-6n=-7 simultaneous equation

Answer 1

5m - 3n = 19 -----------------[ 1 ]

m - 6n = -7    -----------------[ 2 ]

[ 1 ] x 2 : 10m - 6n = 38  -----------------[ 1a ]

Find m:

[ 1a ] - [ 2 ] :

9m = 45

m = 5

Find n :

Sub m = 5 into [ 1 ]:

5 (5) - 3n = 19

25 - 3n = 19

3n = 25 - 19

3n = 6

n = 2

Answer: m = 5 and n = 2

Answer 2

The value of m is 5 and n is 2.

Step-by-step explanation:

Given equations are

5m - 3n = 19 ------------- (1)

m - 6n = -7  ------------- (2)

⇒ m = -7 + 6n ------------- (3)

Substitute (3) in (1), we get

⇒ 5(-7 + 6n) - 3n = 19

⇒ -35 + 30n - 3n = 19

⇒ -35 + 27n = 19

⇒ 27n = 19 + 35

⇒ 27n = 54

⇒ n = 2

Substitute n = 2 in (3), we get

⇒ m = -7 + 6(2)

⇒ m = -7 + 12

⇒ m = 5

The value of m is 5 and n is 2.

To learn more...

1.  Solve the following simultaneous equation 5m-3n=19;m-6n=-7​

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2. 5m-3n=19; m-6n=-7 Solve the simultaneous equation

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