The larger of two numbers is 15 more than the smaller number. Five times the larger number is 40 more than twelve times the smal
ler number. Find the numbers.
1 answer:
Answer:
10, 20
Step-by-step explanation:
x = larger number
y = smaller number
...
x = 10+y
5x=40+6y
...
Substitution of x into the second equation
5(10+y)=40+6y
50 + 5y = 40 + 6y
...
Isolate y
5y - 6y = 40 - 50
-y = -10
Divide both sides by -1
y=10 is the smaller number
...
Rearrange x = 10+y to y = x-10
Substitute into 5x=40+6y
5x = 40 + 6(x-10)
5x = 40 + 6x - 60
...
Isolate x
5x - 6x = 40 - 60
-x = -20
Divide both sides by -1
X=20 is the larger number
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