Answer: The correct option is (A) (5, -3).
Step-by-step explanation: We are given to use the elimination method to solve the following system of equations :
[tex]4x+3y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-y=8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Multiplying equation (ii) by 4, we have
[tex]4(x-y)=4\times 8\\\\\Rightarrow 4x-4y=32~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Subtracting equation (iii) from equation (i), we get
[tex](4x+3y)-(4x-4y)=11-32\\\\\Rightarrow 7y=-21\\\\\Rightarrow y=-\dfrac{21}{7}\\\\\Rightarrow y=-3.[/tex]
From equation (ii), we get
[tex]x-y=8\\\\\Rightarrow x=y+8=-3+8=5.[/tex]
Thus, the required solution of the given system is (x, y) = (5, -3).
Option (A) is CORRECT.
