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swat32
3 years ago
8

Graph the system of inequalities

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0
Answer: To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.
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Solve the system of equations
insens350 [35]

Answer:

x = 3, y = 1 is the solution of the given system.

Step-by-step explanation:

Here, the given system of equations is:

y = -x  + 4   ...... (1)

y = x - 2     ..........  (2)

Now, to find the solution of the system, SUBSTITUTE the value of y from equation  (1) in to the equation (2). We get ,

y = x - 2   ⇒   -x  + 4  = x - 2  ( as from (1), y = -x + 4)

or,  -x -x = -2 -4

or, - 2 x = -6 ⇒   x = 6/2  = 3

or, x = 3

⇒  y = x - 2 = 3 - 2 = 1

⇒ y = 1

Hence, x = 3, y = 1 is the solution of the given system.

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3 years ago
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