Which equation results from adding the equations in the system
×+6y=9
-×+2y=-15

x = 27/2 , y = -3/4

Step-by-step explanation:

x+6y=9

-x+2y=-15

0x +8y = -6

Divide each side by 8

8y/8 = -6/8

y = -3/4

Now find x

x +6y = 9

x +6(-3/4) =9

x - 9/3 = 9

Add 9/2 to each side

x = 9+9/2

x = 18/2 +9/2

x = 27/2

2

step-by-2step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3