Solve the following pair of simultaneous equations.
2x + 3y = 6
3x - 2y = 22

(6, - 2 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 6 → (1)

3x - 2y = 22 → (2)

Eliminate the y- term by multiplying (1) by 2 and (2) by 3

4x + 6y = 12 → (3)

9x - 6y = 66 → (4)

Add (3) and (4) term by term

13x = 78 ( divide both sides by 13 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Using (1), then

(2 × 6) + 3y = 6

12 + 3y = 6 ( subtract 12 from both sides )

3y = - 6 ( divide both sides by 3 )

y = - 2

Solution is (6, - 2 )

all about the same size in the city the game was

step-by-step explanation:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3