the larger of two numbers is 1 more than twice the smaller. three times the larger number is 10 more than 5 times the small. find both numbers.

1 answer

Let s = smaller and L = Larger

L = 2s+1

3L = 5s+10

Substitute 2s+1 for L in second equation and solve for s. Insert that value into the first equation and solve for L. Check by inserting both values into the second equation.