Solve the system using elimination. 5 x + 4 y = 12 3 x – 3 y = 18

x = 4 , y = -2

Step-by-step explanation:

Solve the following system:

{5 x + 4 y = 12 | (equation 1)

3 x - 3 y = 18 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x + 4 y = 12 | (equation 1)

0 x - (27 y)/5 = 54/5 | (equation 2)

Multiply equation 2 by 5/27:

{5 x + 4 y = 12 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{5 x + 4 y = 12 | (equation 1)

0 x+y = -2 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{5 x+0 y = 20 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 4 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

 {x = 4 , y = -2

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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