For each problem, write a system of equations to model each problem. Then, solve the problem. 7. The difference of two numbers is 18. The sum of the same two numbers is 4. Find the two numbers.

8. The theater guild sold 180 tickets for their first Broadway show. Each adult ticket cost $16 and each student ticket
cost $10. The total ticket sales for the show were $2478. How many adult tickets and student tickets were sold?

x=2. y=-16

Step-by-step explanation:

7. x - y = 18 --- 1

2x = 4 ---2

x= 18+y 3

subs 3 into 2

2(18+y) = 4

36+2y = 4

2y = 4-36

2y = -32

y= -16

subs y= -16 into 3

x= 18 + (-16)

x= 2

for the points

step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!