203k views
17 votes
For what value of the constant a does the system of equations below have infinitely many solutions?

For what value of the constant a does the system of equations below have infinitely-example-1

2 Answers

2 votes

Answer:

a = 8

Explanation:

For the 2 equations to have infinite solutions we require the solution to be in the form

0 = 0

Given

2x + 5y = - 8 → (1)

6x = 16 + a - 15y ( add 15y to both sides )

6x + 15y = 16 + a → (2)

Multiply (1) by - 3

- 6x - 15y = - 24 → (3)

Adding (2) and (3) term by term gives

0 + 0 = 16 + a - 24

For the right side to be zero , then

16 + a = 24 ( subtract 16 from both sides )

a = 8

User Tyler Scott
by
7.0k points
7 votes

Answer:

1) Try a = 23/2. With this value, equation 1 multiplied by 2 is exactly the same as equation 2.

2) Try dividing 2005/3 + 2005/4 - 2005/6. Ignore the fractional parts.

3) If you are allowed to repeat the letters, then you should have: 3^3 = 27

User Xori
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories