Question

the equation 5x+2y=20 represents the cost for a family to attend a play where x is the number of adults and y is the number of children. find the intercepts and interpret the meaning of each one​

Answer 1

5x=20
x=20/5
x=4 (adults)

2y=20
y=20/2
y=10 (children)

Answer 2

x-intercept: 4 This means that only 4 adults can come under the budjet of $20

y-intercept: 10 This means that only 10 children can come under the budjet of $20

Explanation:

for y:

5(0) + 2y = 20

2y = 20

2y/2 = 20/2

y = 10

for x:

5x + 2(0) = 20

5x = 20

5x/5 = 20/5

x = 4