Which graph best represents the solution to the system of equations shown below?

y = -4x + 19
y = 2x + 1

First find the x and y values because where the lines will intersect, they share the point of the intersection so they will share the x and y coordinates.

Rearrange equations

To cancel y, we must do equation 1 minus equation 2. Similarly:

So the x coordinate is 3.

The y coordinate can be found with substitution of x into one of the equations:

So where the two lines intersect is at the point (3, 7), which is the solution to the equations.

The correct option is 2.

Step-by-step explanation:

The given system of equations is

          ..... (1)

              ..... (2)

The slope intercept form of a line is

            .... (3)

where, m is slope and b is y-intercept.

From (1) and (3), we get

The slope of first line is -4 and the y-intercept is 19. It means it is a decreasing line and intersect the y-axis at (0,19).

From (2) and (3), we get

The slope of first line is 2 and the y-intercept is 1. It means it is an increasing line and intersect the y-axis at (0,1).

Put y=0, to find the x-intercepts.

Therefore the x-intercept of first line is 4.75 and the x-intercept of the second line is -0.5.

Only the second graph satisfy all the above condition.

One solving the given equation we get

Divide both sides by 6.

Put this value in equation (1).

Therefore the solution of the given system of equation is (3,7).

Hence the correct option is 2.

i used to know how to do this in 7th but i forget easily

step-by-step explanation: