6x + 2y = 16 -4x + y = 9 can someone show me how to solve the system?

x=−1 and y=5

Step-by-step explanation:

rewrite equations:

−6x+2y=16;−4x+y=9

Solve −4x+y=9for y:

−4x+y=9

−4x+y+4x=9+4x(Add 4x to both sides)

y=4x+9

Substitute 4x+9 for y in−6x+2y=16:

−6x+2y=16

−6x+2(4x+9)=16

2x+18=16 (Simplify both sides of the equation)

2x+18+−18=16+−18 (Add -18 to both sides)

2x=−2

2x/2=-2/2

x=−1

Substitute−1 for x in y=4x+9:

y=4x+9

y=(4)(−1)+9

y=5 (Simplify both sides of the equation)

and theres your answer

(ik this is old but i did this anyways-)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.