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)
