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solving special systems.

Solving Special Systems class=

Sagot :

Answer:

the system has infinitely many solutions

Step-by-step explanation:

Given the expressions

y - 2x = 4 .... 1

2x -y - 4 = 0 .... 2

We are to find the solution to the equation as shown

From equation 1: y = 4+2x

Substitute into 2:

2x - (4+2x) - 4 = 0

2x - 4 - 2x - 4 = 0

0 = 0

This shows that the equation has infinite number of solutions

Let y = k

Get x

Substitute y = k into equation 2

From 2: 2x -y - 4 = 0

2x - k - 4 = 0

2x = k+4

x = (k+4)/2 where k is any integer

Hence the system has infinitely many solutions