Given:
The system of equation is:
[tex]-2x+4y=16[/tex]
[tex]2x+2y=8[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]-2x+4y=16[/tex] ...(i)
[tex]2x+2y=8[/tex] ...(ii)
Add (i) and (ii) to eliminate the variable x.
[tex]6y=24[/tex]
[tex]y=\dfrac{24}{6}[/tex]
[tex]y=4[/tex]
Putting [tex]y=4[/tex] in (ii), we get
[tex]2x+2(4)=8[/tex]
[tex]2x+8=8[/tex]
[tex]2x=8-8[/tex]
[tex]2x=0[/tex]
Divide both sides by 2.
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.
