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i'm solving system of equations and i need help with 2b+a=11 and a-b=5
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Ok so we have 2b+a=11 a-b=5 What ways have you learned to solve these?
Elimination, Substitution, or graphing?
So graphing... Ok! y=Mx+B or in this case we have b=Ma+B
2b+a=11 We need to solve this for b
Right. 2b=-a+11
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So we have b=-a/2+11/2
Do you know what the slope of this equation is? Do you know what the y-intercept is? b=Ma+B M is the slope B is the y-intercept
\[b=\frac{-1}{2}a+\frac{11}{2}\]
The slope if -1/2 and y-intercept 11/2
|dw:1341793613705:dw|
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|dw:1341793660826:dw|
Slope is rise/run
rise is -1 means we are going down 1 And run is 2 so we go in the positive direction twice
|dw:1341793736275:dw|
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