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
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).
To find the intersection point of the two linear equations, we can set them equal to each other and solve for x.
1) y = 4x - 10
2) y = -2x + 8
Setting the equations equal to each other:
4x - 10 = -2x + 8
To isolate the x variable, we can add 2x to both sides and add 10 to both sides:
4x + 2x = 8 + 10
6x = 18
Now, divide both sides by 6:
x = 18/6
x = 3
To find the y-coordinate, plug the x-value back into one of the equations. Let's use equation 1:
y = 4(3) - 10
y = 12 - 10
y = 2
Therefore, the intersection point of these two linear equations is (3, 2).