Question

What is the value of x in the system of equations shown below?

5x + 4y= 1

Y= 1 -x

Answer 1

The solution to this system of equations is x = -3 and y = 4.

Explanation:

In order to solve this system we will use the second equation, which have the "y" isolated on the left side and use that value for "y" in the first equation. This is shown bellow:

5x + 4(1 - x) = 1

5x + 4 - 4x = 1

5x - 4x = 1 - 4

x = -3

Now we can use the value we found for x in the second equation to determine y.

y = 1 - x

y = 1 - (-3) = 1 + 3

y = 4

So the solution to this system of equations is x = -3 and y = 4.