Review the graphs of a system of these two linear equations in two variables y = 4x -10!and y = -2x + 8 Find the intersection point

Answer 1

To find the intersection point of the two lines, we need to solve the system of equations:

y = 4x - 10
y = -2x + 8

We can set the equations equal to each other:

4x - 10 = -2x + 8

Combining like terms:

6x = 18

Dividing both sides by 6:

x = 3

Now we can substitute this value of x back into either equation to find the corresponding value of y. Let's use the first equation:

y = 4(3) - 10
y = 12 - 10
y = 2

So the intersection point of these two lines is (3, 2).