Question

solve the following system of equations graphically. After graphing, be sure to label each line with equation and state your final solution as a coordinate pair
y=1/3x+1
x+y=5

Answer 1

Answer:

The solution is the ordered pair (3,2)

The graph in the attached figure

Step-by-step explanation:

we have

$y=\frac{1}{3}x+1$ -----> equation A

$x+y=5$ ----> equation B

Solve by graphing

Remember that

The solution of the system of equations is the intersection point both lines

using a graphing tool

The intersection point is (3,2)

see the attached figure

therefore

The solution is the ordered pair (3,2)

Answer 2

A system of equation can be solved in several ways, which includes the use of graphs

The solution to the system of linear equations is (3,2)

The system of equations is given as:

$y=\frac 13x+1$

$x+y=5$

See attachment for the graphs of  $y=\frac 13x+1$  and $x+y=5$.

From the attachment, the point of intersection of the lines of both equations is (3,2)

Hence, the solution to the system of linear equations is (3,2)

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