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3 years ago

Without solving, match the system of linear equations on the left with the number of solutions on the right.

Mathematics

1 answer:

hram777 [196]3 years ago

6 0

Answer:

Step-by-step explanation:

you can do these by just looking at the equations and comparing the slopes and the y intercepts.

first, put ur equations in y = mx + b form where m is ur slope and b is ur y intercept. Thankfully, these are already in that form.

second, find ur slopes....they will be in the m position

y = mx + b

y = -x + 4 y = 2x + 3

slope = -1 slope = 2

third, find ur y intercepts....they will be in the b position

y = mx + b

y = -x + 4 y = 2x + 3

y int = 4 y int = 3

fourth, compare the slopes and y int's of equation 1 and equation 2

here are some rules...

if the slope and the y int are different in each equation, then there is only 1 solution

if the slope and y int are the EXACTLY the same in the simplest form of each equation, there is infinite solutions

if the slopes are the same, but the y int's different, there is no solution

so ur 2 equations have different slopes and different y int's.....

therefore, there is only 1 solution <=====

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2 years ago

How do You supposed to do this i need many method to do it.

defon

I like the substitution method. Which is when you make one equation equal only x or y and plug it into the other equation)

There is also the graphing method. If you graphed it, it might not be quite as accurate (at least on hand, on computer you would be pretty exact)

Then there is the elimination method. You multiply one of the equations by a coefficient so that you can eliminate x or y from the equation.

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2 years ago

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