Question

x + 2y = 5 and 4x + 4y - 6 = 0 are equations of two lines which intersect at $(-3,\frac{5}{3})$

• A. True
• B. False

Answer 1

The correct option is B

False

x + 2y = 5 .....(i) and 4x + 4y = 6.....(ii)

Multiply (i) by 2 ,We get 2x + 4y = 10.....(iii)

Subtracting (ii) from (iii) we get

2x = -4 $\Rightarrow$ x = -2

and y = $\frac{7}{2}$

Hence the two lines intersect at (-2, $\frac{7}{2}$)