Guided Practice Choose the ordered pair that is a solution of the system.

x + y = 4

x = –1

A.
(–1, 3)

B.
(5, –1)

C.
(–1, 5)

C.

(–1, 5)

Step-by-step explanation:

(− 1  , ​5) is a solution of the system because it makes both equations true. The ordered pair, negative 1, 5, is a solution of the system because it makes both equations true.

x + y− 1+54=?⎯⎯⎯⎯=444 X plus y equals 4.Does negative 1 plus 5 equal 4?Negative 4 equals negative 4.

x−1==−1−1 ✔ X equals negative 1.Negative 1 equals negative 1.

Ok, a system of equations means that we have a given number of equations with the same solutions.

If we only have tables, this means that we need to have one table for each equation:

For example, if we are working only with two variables, x and y, in those tables we can see the pints (x, y) that belong to each equation.

Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation

This would mean that if we graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.

Other way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.