Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of

1.	Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.
Answer» ⠀⠀⠀ ՏϴᏞႮͲᏆϴΝ $\setlength{\unitlength}{<klux>1</klux>.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$ 2x + 3y = 11…………………………..(i) 2x - 4Y = -24………………………… (ii) From equation (ii), we GET: X=(11 - 3y)/2 ……….…………………………..(iii) Putting the value of x in equation (ii), We get: 2(11-3y)/2 - 4y = -24 ➠ 11 – 3y - 4y = -24 ➠ -7y = -35 ➠ y = 5……………………………………..(iv) Putting the value of y in equation (III), We get: x = (11 - 3.5)/2 ➠ -4/2 ➠ -2 Hence, x = -2, y = 5 Also, y = mx + 3 ➠ 5 = -2m + 3 ➠ -2m = 2 ➠ m = -1 Therefore, the value of m is -1. $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

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

Answer»

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2x + 3y = 11…………………………..(i)

2x - 4Y = -24………………………… (ii)

From equation (ii), we GET:

X=(11 - 3y)/2 ……….…………………………..(iii)

Putting the value of x in equation (ii),

2(11-3y)/2 - 4y = -24

➠ 11 – 3y - 4y = -24

➠ -7y = -35

➠ y = 5……………………………………..(iv)

Putting the value of y in equation (III),

x = (11 - 3.5)/2

➠ -4/2

➠ -2

Also,

y = mx + 3

➠ 5 = -2m + 3

➠ -2m = 2

➠ m = -1

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