Question 1065057: Hi, my name is Sierra. It says I have to solve the system of linear equations by graphing. The equations are 4x-4y=20, y=5. I am not sure how to solve, please at least give the the x and y of each with the slope. Thank you
Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! 4x-4y=20, y=5 it's telling you the value of y, no? So substitute:
4x-4(5) = 20
4x-20 = 20
4x = 40
x = 10
First ordered pair, when y=5 x=10 (10, 5)
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Set x to 0:
4(0)-20 = 20
0-20 = 20
0 = 40
Second ordered pair (0, 40)
Here's your chart:
Answer by ikleyn(52784)  (Show Source):
You can put this solution on YOUR website! .
Hi, my name is Sierra. It says I have to solve the system of linear equations by graphing. The equations are 4x-4y=20, y=5.
I am not sure how to solve, please at least give the the x and y of each with the slope. Thank you
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Hi, Sierra.
You are given these two equations:
4x - 4y = 20, (1)
y = 5. (2)
Let me simplify the equation (1) by dividing its both sides by 4. You will get an equivalent system
x - y = 5, (1')
y = 5. (2')
Let me explain how to solve it graphically.
From eq.(2') you have
y = x - 5.
It represents the straight line with the slope 1 (red line in the plot below).
The line y = 5, which is the equation (2'), is the horizontal line (green line in the plot).
Plots y = x - 5 (red line) and y = 5 (green line)
The solution is x = 10, y = 5 (the intersection of the thwo straight lines).
You can check the solution manually.
"Addingup", double check your plot and your writing!!
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