The sum of two numbers is 10. One number is two less than three times the other. Find the numbers.

Answer:x = 7; y = 3Step-by-step explanation:Set your system of equation. Let one number = x, and the other = y.x + y = 103y - 2 = xPlug in 3y - 2 for x in the first equation.(3y - 2) + y = 10Simplify. Combine like terms. 3y + y - 2 = 104y - 2 = 10 Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 2 to both sides.4y - 2 (+2) = 10 (+2)4y = 10 + 24y = 12Next, divide 4 from both sides.(4y)/4 = (12)/4y = 12/4y = 3Plug in 3 for y in one of the equations.x + y = 10x + 3 = 10x + 3 (-3) = 10 (-3)x = 10 - 3x = 7x = 7; y = 3Check: x + y = 10(7) + (3) = 10(10) = 10 (True).3y - 2 = x3(3) - 2 = (7)9 - 2 = 77 = 7 (True).~