Question

Use substitution to solve the system of equations. Show your work. Check your answer to show proof that the solution works in each equation

3x+y=10
y=6x+1
(If you can, please put a step by step explanation!)

Answer 1

x=1

Explanation:

If y=6x+1, we can substitute that into the original equation, so it would look like 3x+6x+1=10.

Now we just solve for x. Add 3x and 6x to get 9x, and subtract 1 from both sides of the equation, now we have

9x=9, divide both sides by 9 and we end up with x=1.

PS. sorry for the bad handwriting but i attached a photo of how i solved it.