How do you solve #4x - 8y = 30# and #6x - 12y = -64#?

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Answer 1 · 2016-07-30T16:39:15

There is no solution.

First simplify each of the equations.

#4x - 8y = 30" " and " "6x - 12y = -64#

#2x -4y = 15" A "#
# x - 2y = -16 " B"#

Notice what happens if we multiply B by 2:

# 2x - 4y = -32 " B"#

We have a contradiction!

In A #" "2x -4y = 15#

The left sides of A and B are the same, but they are equal to different numbers.

These equations cannot be solved to give a unique answer.
There is no solution.