Question 1022546
Double the larger number: 2x
plus three times the smaller number makes 19 
2x+3y = 19 (1)
the difference between the numbers is 2
x-y = 2 
Add y on both sides:
x = 2+y 
Let's plug this value for x into (1) above:
2(2+y)+3y = 19
4+2y+3y = 19 
Add y on left and subtract 4 on both sides
5y = 15 
divide both sides by 5
y = 3 
Now that we know y let's find x The problem says that x-y = 2:
x-3 = 2
Add 3 on both sides:
x = 5
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Check - The problem says:
2x+3y = 19 
2(5)+3(3)= 19 Do the math on left to see that we have the correct answer.
J