Question

14. Solve 2x + 3y = 11 and 2x - 4y = -24 and hence find the value of 'm' for which y = mx + 3
holds.​

Answer 1

Step-by-step explanation:

solving by substitution methord

so we have 2x + 3y= 11 --------------1

and 2x - 4y = -24 --------------2

so as we can see 1st term of 1st equation = 1st term of 2nd equation

then. by substacting

2x + 3y = 11

2x - 4y = -24

- +. +

-------------------

0. +7 y = 35

so y= 5

then to find x we have to put value of y in equation 1 or 2 ( it's you choice ) but it choose equation 1

so 2x + 3x5 = 11

2x = 11 - 15

x = -4/2

x = - 2

therefore x= -2

Now

to find m

we have to put value of y and x in y = mx + 3 equation

so. 5 = m (-2)+3

5 = -2m +3

-2m = 5 - 3

-2m = 2

then

m = 2/-2

therefore m = -1

thus value of m= -1

hope it helps

be brainly