Question

solve 2x+3y=11 and 2x-4y= -24 and hence find the value of m 'f for which y=mx+3.

Answer 1

x=11-3y/2
11-3y-4y=-24
y=5
x=2x+15=11
x=-2
y=mx+3
5=-2m+3
2=-2m
m=-1
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Answer 2

Hey friend..!! here's your answer
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2x + 3y = 11____________(1)

2x - 4y = -24
2(x- 2y )= -24
x-2y = -12_____________(2)

solving eq. 1 and 2

From eq. 2
x= -12 + 2y________(3)

Put eq 3 in eq 1

2(-12 +2y) + 3y = 11
-24 + 4y + 3y = 11
7y = 11 + 24
7y = 35
y = 5

Put the value if y in eq 3....or 1 or 2

From eq

x = - 12 + 2(5)
x = - 12 + 10
x = -2

Now we need to find the value of m,

y = mx + 3________(4)

Put the value of x and y in eq. 4

5 = m ( -2) + 3
5 = -2m + 3
5- 3 = - 2m
2 = -2m
m = -2

So that the value of m is - 2

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#hope its help you dear