Question

For each word problem, write 2 equations to create a system of equations. Then, solve.

Answer 1

Let

x ------> guests invited by Tamera

y -----> guests invited by Adeline

we have that

x=y-5 ------> equation 1

x+y=47 -----> equation 2

solve the system

Solve by substitution

substitute equation 1 in equation 2

(y-5)+y=47

solve for y

2y=47+5

2y=52

y=26

Find x

x=26-5

x=21

therefore

guests invited by Tamera 21

guests invited by Adeline 26