Substitution of y= 4x-3 3x-2y=16

(-2,-11)

Step-by-step explanation:

3x-2(4x-3)=16

3x-8x+6=16

-5x=10

x=-2

Plug back in

y=4(-2)-3

y=-8-3

y=-11

(-2,-11)

Step-by-step explanation:

y= 4x-3

3x-2y=16 <— substitute y from above

——————————————————————————-

3x-2y = 16

3x-2(4x-3) = 16

3x-8x+6 = 16

-5x + 6 = 16

-5x ÷ 10

x = -2

——————————————————-

Substitute the x from above to any equation to get the y value

3x-2y=16

3(-2)-2y=16

-6 - 2y = 16

-2y = 22

y = -11

——————————————————-———————

(-2,-11)

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.