Question

solve 2m+3n=2,4m-9n=-1​

Answer 1

Answer:

m= 1/2 & n = 1/3

Step by Step Explanation:

2m+3n=2 (equation 1)

4m-9n= -1​ (equation 2)

Multiply equation 1 by 2

so now equation 1 will be 4m+6n=4

now we have to do elimination method

4m-9n=-1

4m+6n=4

(-)   (-)    (-)

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0 - 15n = -5

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-15n = -5

so (-) & (-) will be cut

15n = 5

n = 1/3

Put n = 1/3 in equation 1 so to get the m

2m+3n=2

2m + 3(1/3) = 2

2m = 1

m= 1/2

Answer 2

Answer:

m=7/10 and n=1/5

Explanation:

Let the equation 2m+3m=2 be #1

And 4m-9n=1 be #2

We can do this question by cancelling out one of the variables that is m or n.

So for that,

2x#1 - 1x#2

2x(2m+3n=4) = (4m+6n=4)

1x#1=#1

(4m+6n)-(4m-9n) = (4)-(1)

4m+6n-4m+9n = 3

15n = 3

n=1/5

Substitute the value of n in #1

Then

2m+3n = 2

2m+3(1/5) = 2

2m+3/5 = 2

2m = 2 - 3/5

2m = 7/5

m=7/10

So the value of (m,n) is (7/10,1/5) or (0.7,0.2)