Review the graphs of a system of these two linear equations in two variables: y= 4x-10 and y= -2x+8 find the solution of the system
To find the solution of the system of linear equations y = 4x - 10 and y = -2x + 8, we can graph the two equations and find the point of intersection.
First, plotting the two equations on a graph:
y = 4x - 10 is a line with a y-intercept of -10 and a slope of 4.
y = -2x + 8 is a line with a y-intercept of 8 and a slope of -2.
Now, we can graph these two lines on the same coordinate system.
The point of intersection of the two lines appears to be (3, -2). This means that x = 3 and y = -2 is the solution of the system of equations.
To confirm the solution algebraically, we can substitute x = 3 into one of the equations to find the corresponding y-value:
y = 4(3) - 10 = 12 - 10 = 2
So, the solution of the system of equations y = 4x - 10 and y = -2x + 8 is x = 3 and y = -2.