Explain how you know a system of equations has

1 answer:

4 0

When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example

3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions

infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line

1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2

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HELP HELP HELP HELP<br>show the steps too. I'll give BRAINLIEST!

natali 33 [55]

Move constant to the right-hand side and change its sign

2x^2 + 8 = -2 + 7
-2 + 7 = 5

Divide both sides of the equation by

x^2 + 4x = 5/2

Add (4/2^2) to both sides of the equation

x^2 + 4x + (4/2)^2 = 5/2 + (4/2)^2

factor the expression

(x + 4/2)^2 = 13/2

reduce the fraction by 2

(x + 2)^2 = 13/2

now solve equation for x