SOLUTION: 2.00x+1.5y=550.00 x=3y-100 i need to graph so im guessing it needs to be in slope intercept form? i keep getting decimals and i need help

Question 521829: 2.00x+1.5y=550.00
x=3y-100
i need to graph so im guessing it needs to be in slope intercept form? i keep getting decimals and i need help
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
2.00x + 1.5y = 550.00
multiply by 10 to eliminate decimals
20x + 15y = 5500
15y = -20x + 5500
y = -(20/15)*x + 5500/15
y = -(4/3)x + 1100/3
.
x = 3y -100
x + 100 = 3y
3y = x + 100
y = x/3 + 100/3
.

.
To eliminate fractions, you need to multiply by 3. That could be rearranged into standard form.
.
3y = -4x + 1100
4x + 3y = 1100
.
y = x/3 + 100/3
3y = x + 100
-x + 3y = 100
.
This layout suggests a set of linear equations:
.
4x + 3y = 1100
-x + 3y = 100
---------------
5x = 1000
x = 200
.
Substitute x = 200
.
-200 +3y = 100
3y = 300
y = 100
.
So, the lines intersect at (200,100).
.
You can check using the other equation:
4(200) + 3(100) = 1100
True
.
Done.
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