2x+y=8,y+3z=5,z+2w=15,w+3x=9

Solve by substitution
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

2x+y=8, y=8-2x;

y+3z=5, z=⅓(5-y)=⅓(5-8+2x)=⅓(2x-3);

z+2w=15, w=½(15-z)=½(15-⅓(2x-3));

w+3x=9, ½(15-⅓(2x-3))+3x=9, 15-⅓(2x-3)+6x=18, 45-2x+3+18x=54, 48+16x=54, 16x=6, x=⅜.

w=9-9/8=63/8, y=8-¾=29/4, z=15-63/4=-¾.

CHECK

2x+y=¾+29/4=8, y+3z=29/4-9/4=5, z+2w=-3/4+63/4=15, w+3x=63/8+9/8=9. All correct.

(w,x,y,z)=(63/8,3/8,29/4,-3/4).

by Top Rated User (1.2m points)

Related questions

1 answer
3(2w-3z)-w-z-(w+z)
asked Aug 2, 2012 in Algebra 1 Answers by anonymous | 851 views
1 answer
2w+3x+y-z=9, -w+x+y+2z=10, 3w+x-y-z=-2, w-x+y-z+-6
asked Mar 28, 2013 in Algebra 2 Answers by anonymous | 749 views
1 answer
2x+4y+3z=10, 3x-y+6z=15, 5x+2y-z=25
asked Dec 4, 2011 in Algebra 2 Answers by anonymous | 1.4k views
2 answers
w^2 + 2w-15/6w^2-54
asked Mar 20, 2016 in Algebra 1 Answers by anonymous | 765 views
1 answer
(w)squared +2w-15 /(6w)squared -54
asked Mar 20, 2016 in Algebra 1 Answers by anonymous | 928 views
1 answer
solve for w -5/2w=-15
asked Nov 6, 2012 in Geometry Answers by anonymous | 783 views
1 answer
8-1.2(w-9) = .4(2w-9)
asked Nov 1, 2012 in Algebra 1 Answers by anonymous | 736 views
1 answer
(-2w^3z^4)^3(-4wz^3)^2
asked Sep 21, 2011 in Algebra 1 Answers by anonymous | 834 views
1 answer
2-y+3z=-9,x+3y-z=10,3x+y-z=8
asked Apr 14, 2018 in Algebra 2 Answers by anonymous | 747 views
1 answer
how to solve 2w+8(w+3)=34
asked Nov 2, 2012 in order of operations by anonymous | 758 views
2 answers
(2w - 3y)(3w + 2y) - (w - y)2
asked Dec 22, 2011 in Algebra 1 Answers by anonymous | 1.6k 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!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,224 users