Q. 395.0( 1 Vote )

# State whether the

4x2 + 9y2 = 72 & 2x + 3y = 12

Solving both the expressions,

2x = 12 – 3y

Squaring both sides,

(2x)2 = (12 – 3y)2

4x2 = (12 – 3y)2

Putting the value of 4x2,

(12 – 3y)2 + 9y2 = 72

144 + 9y2 - 72y + 9y2 - 72 = 0

18y2 - 72y + 72 = 0

Y2 - 4y + 4 = 0

(y – 2)2= 0

y = 2

2x = 12 – 3y

2x = 12 – 3(2)

2x = 12 – 6 = 6

x = 3

So, the point of intersection is (3,2).

TRUE

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