Write a system of equations for each problem. Solve using the substitution method.

Question

Steve has $3 more than twice as much as Tracy. Together they have $57. How much does each have?

Answer 1

Equation #1 s= 2t + 3

 

Equation #2 s + t = 57

 

Substituting Equation #1 into Equation #2: (2t + 3) + t = 57

 

3t + 3 = 57

 

3t = 54

 

t = 18

 

Tracy has $18. 

 

s= 2t + 3 

s= 2(18) + 3

s= 39

 

Steve has $39

 

$39 + $18 = $57