explain how to tdo this problem.

The larger of two numbers is 5 less than twice the smaller number. The sum of four times the larger and twice the smaller number is 100. If x is the smaller number what is the equations that determines the correct value of x

2 answers

y = 2x-5
2x+4y = 100
Smaller no. = X.
Larger no. = 2x - 5.

4(2x - 5) + 2x = 100.