Question

solve the pair of equations 2 by X + 3 by y equals to 11 and 5 by x minus 4 Y = 2 - 7 hence find the value of 5 x minus 3 y​

Answer 1

Answer:

Given equations are 

2x+3y=11−−−−(1)

2x−4y=−24−−−−(2)

Form (1)

2x+3y=11 

⇒2x=11−3y

⇒x=211−3y−−−(3)

substituting  x in(2)

2x−4y=−24 

⇒2(211−3y)−4y=−24

⇒11−3y−4y=−24

⇒11−7y=−24

⇒7y=35

⇒y=35/7

⇒y=5.

putting  y = 5 in (3) 

x=211−3(5)

⇒x=211−15

⇒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=−