Question

Graph each equation.

Determine the solution of the system of equations.
y = 1 / 4x+1
y=-x+6
the system.
What is the solution of the system of equations?
(Type an ordered pair.)

Answer 1

Answer is (4, 2) as shown in the attached graph

Step by step
Graph the two equations and find where the two lines meet, to find the solution is (4, 2)

You can check your work by substituting your x and y values (4, 2) into an equation

y = -x + 6

2 = -4 + 6

2 = 2

They equal so the solution is correct!

Answer 2

To graph the equations, we can start by plugging in values for x and solving for y in each equation. For example, if we plug in x=0, we get y=6 for the second equation. If we do the same for the first equation, we get y=1/4. If we continue plugging in values for x and solving for y, we can plot the points and draw the lines for the equations.

To find the solution of the system of equations, we need to find the point where the two lines intersect. This is the point where x and y will have the same value for both equations. By inspection, we can see that the point where the lines intersect is (2,3). Therefore, the solution to the system of equations is (2,3).

Succes!