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Mathematics 21 Online
OpenStudy (ccchristian1):

A pair of equations is shown below: y = 2x − 1 y = 4x − 5 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

OpenStudy (unknownunknown):

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OpenStudy (unknownunknown):

That's a very rough sketch. But the idea is to graph both of the equations, and find where they intersect. That point of intersection is a solution to both equations.

OpenStudy (ccchristian1):

i dont get it

OpenStudy (ccchristian1):

@unknownunknown

OpenStudy (unknownunknown):

Okay so. Let's just start with one of the equations. y = 2x - 1. Can you graph that equation for me, by itself?

OpenStudy (ccchristian1):

m=2,b=−1 where m is the slope and b is the y-intercept

OpenStudy (ccchristian1):

@unknownunknown

OpenStudy (ccchristian1):

@unknownunknown

OpenStudy (ccchristian1):

@geerky42

OpenStudy (ccchristian1):

@UsukiDoll

OpenStudy (usukidoll):

I'm hoping OS doesn't kick me off again... if you don't see a response that is why. OS hates Firefox

OpenStudy (ccchristian1):

oo okay

OpenStudy (ccchristian1):

can you help me on this one though

OpenStudy (usukidoll):

sure. so we are solving a pair of equations using the graphing method. What you need to do is to graph each equation separately on the same sheet of paper . letting x be any value so you can find out what y is. The answer is when both equations share the same point.

OpenStudy (unknownunknown):

So Christian that's good you know m and b. And now the next step is to visualize them geometrically. So could you plot the graph for me, of y = 2x - 1?

OpenStudy (usukidoll):

with a chart.. x y = 2x -1 0 2(0)- 1 -> 0-1 = -1

OpenStudy (usukidoll):

let x be any value from x =0 to x = 3 and we plug it into the y =2x-1 to figure out what our y is.. then we have a point . Fore example, when x = 0, y =-1 so our coordinate point is (0,-1)

OpenStudy (ccchristian1):

okay so what do i do next ? after that

OpenStudy (usukidoll):

you have to do the same thing with the other equation

OpenStudy (ccchristian1):

m=4,b=−5

OpenStudy (ccchristian1):

so (4,-5)

OpenStudy (usukidoll):

no no no for y = 4x-5. let x = 0,1,2,3...... find the y values and plot them.. sorry I am freezing bad again with OS

OpenStudy (ccchristian1):

its okay and i have to write this in words

OpenStudy (ccchristian1):

its a question essay

OpenStudy (ccchristian1):

i just need help on how to type it

OpenStudy (unknownunknown):

Christians that's fine, but to understand it so you can write it in words, you should do as UsukiDoll is suggesting, and graph it first. Once you do that and can see what's happening, it will be very easy to explain it in words.

OpenStudy (usukidoll):

blame OS it just kicked me out of this question T_T

OpenStudy (unknownunknown):

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OpenStudy (ccchristian1):

whatever its okay guys

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