Question

For what value of k following equation 2x+9y=k & 3x- y=5 have unique solution.

Answer 1

Answer:

2x+9y=k

solve for x

2x=k - 9 y

2x. k - 9 y

___ = ______

2 2

x = k - 9 y

_____

2

solve for y.

2x + 9 y = k.

9 y = k - 2x.

9 y. k - 2x.

___. ______.

9 9

y = k - 2 x

_____. y

9

3x - y = 5

solve for x

3x- y = 5

3x=5 + y

3x = y + 5

3x / 3 = y+ 5 / 3

x = y + 5 / 3

solve for y

3x- y = 5

- y = 5 - 3x

- y/ -1 = 5 - 3 x / - 1

y = 5 - 3 x / -1

y = 3 x - 5