What is the solution (a, b) to this system of linear equations?

3a+6b=45

2a-2b=-12

(-27, 6)
(-1, 7)
(1, 7)
(27, -6)

c. (1,7)

Step-by-step explanation:

3a+6b=45     (i)

2a-2b=-12      (ii)

3a+6b=45 ⇒ a+2b= 15

and 2a-2b= - 12⇒ a-b= -6

a+2b= 15    (iii)  

a-b= -6        (iv)

we will get,

3b=21

On solving, the value of b is

b=7

a+2b= 15    

a+2(7)=15

a+14=15

a=15-14

a=1

Hence, the required values of (a, b) for given linear equations will be (1,7).

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a=1, b=7. (1, 7).

Step-by-step explanation:

3a+6b=45

2a-2b=-12

simplify 3a+6b=45 into a+2b=15

and 2a-2b=-12 into a-b=-6

a+2b=15

a-b=-6

a+2b=15

-(a-b)=-(-6)

a+2b=15

-a+b=6

3b=21

b=21/3

b=7

a+2(7)=15

a+14=15

a=15-14

a=1

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.

step-by-step explanation: