can you break the formula into simple steps so I understand the value of x and y?
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Take a good look at these equations and you should spot something interesting. The first and second equations have something in common, namely (10x+y). The first equation says that quantity equals 36, so substitute 36 for the expression in the second equation and what do we get? 36-(10y+x)=36. The two 36's cancel out leaving -(10y+x)=0. Forget about the minus in front of the brackets because minus zero and plus zero mean the same. We can just write simply 10y+x=0. The third equation says x-y=4. We have two simultaneous equations, both simultaneously true, in other words. We can write 10y+x as x+10y so that we can match the order of the variables in the third equation. Now subtract the third equation from this and we get x+10y-(x-y)=0-4. That's x+10y-x+y=-4. The x's disappear and we're left with 11y=-4, so y=-4/11. Substitute this value for y on any of the equations to find x. Let's pick x-y=4. So x=4+y and x=4+(-4/11) which is 4-4/11 or 40/11 (that is (44-4)/11). 40/11 is 3 and 7 elevenths. So the answer is x=40/11 and y=-4/11. Put these values in any of the equations to confirm the result.

by Top Rated User (1.2m points)

Related questions

1 answer
asked Oct 24, 2019 in Algebra 1 Answers by anonymous | 1.2k views
1 answer
1 answer
asked Apr 5, 2013 in Algebra 1 Answers by anonymous | 1.2k views
1 answer
1 answer
asked Apr 16, 2013 in Geometry Answers by anonymous | 705 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,344 answers
2,420 comments
762,927 users