Question 1009471
Hi there.
the sum of two numbers is seven less 
than five times the smaller number.
x + y = 5(x) - 7
x + y = 5x - 7
x - 5x + y = -7
-4x + y = -7........(1)
Twice the larger number is one more 
than thrice the smaller number.
2(y) = 1 + 3(x)
2y = 1 + 3x
-3x + 2y = 1........(2)
...............
-4x + y = -7........(1)
-3x + 2y = 1........(2)
Multiply Eq(1) by -2
8x - 2y = 14........(1)
-3x + 2y = 1........(2)
Add Eqs(1) + (2)
5x .....= 15
x.......= 3
Substitute x = 3 into
Equation (1)
-4x + y = -7
-4(3) + y = -7
-12 + y = -7
y = -7 + 12
y = 5
Two numbers are: 3 and 5
Hope this helps :-)