Question

Solve for x and y:
x = 5 – 2y
4y = 15 - 2x

Answer 1

No solution.

Explanation:

So we have the system of equations:

`x=5-2y\\4y=15-2x`

We can solve this by substitution. Substitute the first equation into the second. Thus:

`4y=15-2(5-2y)`

Distribute the right:

`4y=15-10+4y`

Subtract 4y from both sides:

`0=15-10`

Subtract the right:

`0=5`

As you can see, this statement is not true. In other words, the system of equations have no solution (likely because the lines are parallel).

And we're done!