What is the answer key for part a and b

x=$2.50, y=$4.00

Step-by-step explanation:

Let x=cost of the water slide

Let y=cost of the ferris wheel

System of equations:

3x+3y=19.50

2x+3y=17.00

Subtract the 2nd from the 1st to get:

x=2.50

Now plug into first equation to get:

3(2.50)+3y=19.50 so y=4.00

Check in 2nd equation:

2(2.50)+3(4) = 5+12 = 17

3x+3y=19.50

2x+3y=17.00

Subtract the 2nd from the 1st to get:

x=2.50

Now plug into first equation to get:

3(2.50)+3y=19.50 so y=4.00

Check in 2nd equation:

2(2.50)+3(4) = 5+12 = 17

Step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1