What is the solution to the system of equations?

Question

y=3x
y=-x+4

Answer 1

The solution to the system of equations is the point where the two lines intersect. To find this point, we can set the two equations equal to each other:

3x = -x + 4

Combining like terms:

4x = 4

Dividing both sides by 4:

x = 1

Now plug this value back into either equation to solve for y. Let's use the first equation:

y = 3(1)
y = 3

So the solution to the system of equations is (1, 3).