Question

What is the solution to the equations represented by these two lines?


A. (4, 2)

B. (2, 3)

C. (2, 0)

D. (0, 4)

Answer 1

The answer would be C. (2, 0)

Answer 2

Answer:

Option B is correct

(2, 3)  is the solution

Step-by-step explanation:

Given the equation of lines:

$y = \frac{3}{2}x$                    .....[1]

$y = -\frac{1}{2}x+4$                 .....[2]

Equates these two lines we have;

$\frac{3}{2}x = -\frac{1}{2}x+4$

Add $\frac{1}{2}x$ to both sides we have;

$\frac{4}{2}x = 4$

⇒$2x= 4$

Divide both sides by 2 we have;

x = 2

Substitute this value in [1] we have;

$y = \frac{3}{2} \times 2 = 3$

therefore, the solution to the equations represented by these two lines is, (2, 3)