18. Solve the problem by writing a system of equations in two variables and then solving it. The sum of two numbers is 17. If the larger n
+23254 Let L = larger number and S = smaller number
L + S = 17 The sum of the two numbers is 17.
L = 2 + 2S The larger number is two more than twice the smaller.
Substitute the value of L from the second equation into the first equation:
(2 + 2S) + S = 17
2 + 3S = 17
3S = 15
S = 5
L = 12
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| 18) | Solve the problem by writing a system of equations in two variables and then solving it. The sum of two numbers is 17. If the larger number is two more than twice the smaller find the larger number. | |
+23254 Let L = larger number and S = smaller number
L + S = 17 The sum of the two numbers is 17.
L = 2 + 2S The larger number is two more than twice the smaller.
Substitute the value of L from the second equation into the first equation:
(2 + 2S) + S = 17
2 + 3S = 17
3S = 15
S = 5
L = 12
