solve the following equations. show work.substitution,addition,or graphing
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

y = 5y + 1

-1 = 4y

y = -1/4

-2y + 10 = 3

-2(-1/4) + 10 = 3

1/2 + 10 = 3

10.5 = 3

Untrue, therefore no solution.

.

-x + 2y = 3

3x - 6y = -9

multiply the top equation by -3 on both sides

3x - 6y = -9

3x - 6y = -9

the two equations are the same, so there's no unique solution

Any pair of x and y values that satisfy 3x - 6y = -9 (or just x - 2y = -3) work.

Infinite number of solutions.

.

x + 3y = 5

5x + 6y = -2

multiply the top equation by -2 on both sides

-2x - 6y = -10

5x + 6y = -2

add the bottom equation to the top

3x + 0y = -12

5x + 6y = -2

divide the top equation by 3 on both sides

x + 0y = -4

5x + 6y = -2

Now we know x = -4

multiply the top equation by -5 on both sides

-5x + 0y = 20

5x + 6y = -2

add the top equation to the bottom

-5x + 0y = 20

0x + 6y = 18

divide the bottom equation by 6 on both sides

-5x + 0y = 20

0x + y = 3

Now we know y = 3

Answer:  x = -4, y = 3
by Top Rated User (103k points)

Related questions

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!
84,331 questions
89,309 answers
1,991 comments
7,216 users