Question

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

Answer 1

Answer:

No solution.

Step-by-step 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!