Question

Solve and 2x + 3y = 11 and 2x - 4y= -24 and hence find the value of ‘m’ for which y = mx +3

Answer 1

Answer:

Lets reform the equation in its standard form of y=mx+c

2x+3y=6

y=−2x/3+2

Slope=−2/3,y−intercept=2

Only line with y-intercept=2 is (IV)

And it has negative slope too.

Hence, IV represents graph of 2x+3y=6.

Step-by-step explanation:

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Answer 2

3x+y=-1......eqn 1

-2x+3y=19.....eqn 2

multiplying eqn 1 by 3 in order to eliminate y

9x+3y=-3.......eqn3

subtracting eqn 3 frm 2

  -2x+3y=19

   9x+3y=-3

(- ) -   -       +  

  -11x      =22

      x      =22/-11

      x      = -2  

substituting x= -2 in eqn1

we get y= 5

now,

y=mx+3

5=m(-2)=3

5= -2m+3

5-3= -2m

2= -2m

-2/2=m

-1=m

therefore m= -1