Question

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

Answer 1

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=196

Answer 2

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