Solve the system of equations.
2x - 5y = 3
x – 3y = 1

(4, 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 3 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides )

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

2(1 + 3y) - 5y = 3 ← distribute left side

2 + 6y - 5y = 3, that is

2 + y = 3 ( subtract 2 from both sides )

y = 1

Substitute y = 1 into (3) for corresponding value of x

x = 1 + (3 × 1) = 1 + 3 = 4

Solution is (4, 1 )

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.

step-by-step explanation: