If 2x + y -5 = 0 and the x + y – 13 = 0 then what is 4x 2 + y 2 +4xy e

| If 2x + y -5 = 0 and the x + y – 13 = 0 then what is 4x2 + y2 +4xy equal to

A. 24

B. 25

C. 21

D. 20

Right Answer is: B

SOLUTION

 

Given equations are

2x + y = 5

x + y = 13

by solving both the equations

x = -8 and y = 21

now, 4x2 + y2 – 4xy = 4 (-8)2 + (21)2 + 4(-8)(21) = 256 + 441 – 672 = 25

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