Question

x-y=9, x+w=12,w-z=14,y+z=2

x, y, z, w=????​

Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\red{SOLUTION :}}}}$

$\implies\sf\pink{Take\:x-y=9------------(1)}$

              $\sf\pink{x+w=12------------(2)}$

$\implies\sf\pink{subtracting\:both\:we\:get}\\\\\implies\sf\pink{w-y=3------(3)}\\\\\implies\sf\pink{comparing\:(3)\:with\:w-z=14\:we\:get}\\\\\implies\sf\pink{therefore\:z-y=11------(4)}\\\\\sf\pink{comparing\:(4)\:with\:y+z=2}\\\\\implies\sf\pink{therefore\:2z=9;z=4.5------(5)}$

$\sf\pink{keep\:(5)\:in\:y+z=2}\\\\ \implies\sf\pink{therefore\:y=-2.5------(6)}\\\\ \sf\pink{keep\:(6)\:in\:x-y=9}\\\\ \implies\sf\pink{therefore\:x=13.5------(7)}\\\\ \sf\pink{keep\:(7)\:in\:x+w=12}\\\\\\ \implies\sf\pink{therefore\:w=-1.5------(8)}\\\\\\ \sf\pink{therefore\:(x,y,z,w)\:are\:(13.5,-2.5,4.5,-1.5)\:are\:your\:answers}$