Question

4x - 3y = k -8x + 6y = 10 If the pair of equations has infinitely many solutions, what is the value of k?

Answer 1

The value of k is equal to -5.

4x - 3y = -5
-2(4x - 3y) = -2(5)
-2(4x) - 2(-3y) = 10
-8x + 6y = 10

Answer 2

4x-3y = -5 -8x+6y=10

First off you'll have to start with the first half of the equation, 4x-3y=-5

So then you'll get, -2(4x - 3y) = -2(5)

Now you'll have to fill it in with the new information -2(4x) - 2(-3y) = 10

This is the later half of the equation -8x + 6y = 10

so leaving it all up to -5 when you place it all together! I hope this helped some, after it was broken down a bit! :)