Question

The larger of two numbers is 6 less than 3 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number. Find the numbers

Answer 1

X- small              y- big

y=3x-6
3y=4x+7

we have to solve this, i am going to set the eq equal to each other

3(y=3x-6) = (3y=9x-18)
we mult the top eq by 3 to set them equal since the right side is equal to 3y.

9x-18=4x+7
9x=4x+25
5x=25
x=5 
plug back into eq y=3(5)-6                 y = 9 x = 5