What is the solution of the system of equations? y = -2x + 8 and y = x - 4

Solution:

It is given that,

y = -2x + 8 … [equation 1]

y = x - 4 … [equation 2]

We have both the y's isolated.

We consider, as stated earlier, that in order to intersect, the equations have equal x values and equal y values.

Then,

-2x + 8 = x - 4

Now we have to solve for x,

By transposing we get,

x + 2x = 8 + 4

3x = 12

x = 12/3

x = 4

Now we have substitute the value of x in equation 2 to get y,

y = x - 4

y = 4 - 4

y = 0

Therefore, the solution of the system of equations is (4, 0).

---

What is the solution of the system of equations? y = -2x + 8 and y = x - 4

Summary:

The solution of the system of equations y = -2x + 8 and y = x - 4 is (4, 0).