Answer:
The given SYSTEM OF EQUATION HAS NO SOLUTION.
Step-by-step explanation:
Here, the given system of equations are:
[tex]x = 4y + 3\\2y - \frac{1}{2} x = 9[/tex]
Solving the system by substitution:
Substitute the value of x = 4y + 3 in the second equation, we get[tex]2y - \frac{1}{2} x = 9 \implies 2y - \frac{1}{2} (4y+3) = 9\\\implies 2y - \frac{1}{2} (4y) -\frac{1}{2} (3) = 9\\\implies 2y - 2y -\frac{3}{2} = 9\\or, 0 = 9+\frac{3}{2} = \frac{21}{2}[/tex]
⇒ 0 = 21/2
This gives us a CONTRADICTION as 0 ≠21/2
Hence, the above SYSTEM HAS NO SOLUTION.
