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stich3 [128]
3 years ago
6

How to solve system of equation from a table

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

  Look for the same entry in both (all) tables.

Step-by-step explanation:

We assume here that the system of equations consists of two equations in two variables. If there are more equations in more variables, the general approach is the same.

A "solution" to a system of equations is a set of variable values that satisfies all equations of the system simultaneously. A table for one equation will generally list sets of variable values that satisfy that equation. <em>When the same set of values appears in the table for each of the equations, then that set of values is the solution</em>.

__

<u>Example</u>

The attachment shows tables for two equations:

  • y = 2x
  • y = x+3

Highlighted are the table entries that are the same for both equations. This is the solution to the system of equations. (x, y) = (3, 6) satisfies both equations:

  • 6 = 2·3
  • 6 = 3+3

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