Solve 2x+3y=11 and 2x - 4y=-24 and hence find the value of "m" for whi

1.	Solve 2x+3y=11 and 2x - 4y=-24 and hence find the value of "m" for which y=MX+3
Answer» 2x +3y =11 ............... (1)2x−4y =−24 ................ (2)Using equation (2), we can say that2x =−24 + 4y⇒ x =−12 + 2yPutting this in equation (1), we get2(−12 + 2y )+3y =11 ⇒ −24 + 4y + 3y =11⇒ 7y =35 ⇒ y =5Putting value of y in equation (1), we get2x +3(5)=11 ⇒ 2x +15=11⇒ 2x =11 - 15=−4 ⇒ x =−2Therefore, x =−and y =5Putting values of x and y in y =mx +3, we get5=m (−2) + 3\xa0⇒ 5 =−2m +3⇒ −2m =2 ⇒ m =−1

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