Question

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

Answer 1

Step-by-step explanation:

Given equations are

2x+3y=11−−−−(1)

2x−4y=−24−−−−(2)

Form (1)

2x+3y=11

⇒2x=11−3y

⇒x=

2

11−3y

−−−(3)

substituting x in(2)

2x−4y=−24

⇒2(

2

11−3y

)−4y=−24

⇒11−3y−4y=−24

⇒11−7y=−24

⇒7y=35

⇒y=35/7

⇒y=5.

putting y = 5 in (3)

x=

2

11−3(5)

⇒x=

2

11−15

⇒x=−4/2

∴x=−2.

Hence x = -2 and y = 5 is the solution of the

equation.

Now, we have to find m

y=mx+3 ∴m=−1

5=3(−2)+3

5−3=−2m⇒−2m=2

⇒m=−2/x=−1

Answer 2

Answer: m = -1

Step-by-step explanation:

2x+3y =11

2x-4y=-24

-. +. + (elimination method )

7y=35

y=35/7

y=5

put value of y in equation 1

2x+3×5=11

2x+15=11

2x=-4

x=-2

now put value of x and y in given eq

5=-2m+3

5-3=-2m

2=-2m

m=-1

hope it helps u.