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

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