I can't figure this one out but download Cymath it will help with this problem.
Most likely 10 because the initial amount is 5
First you would solve what is in the parentheses so 3x-2x=1x or x. Then you would look to see if there are any like terms throughout the rest of the equation which there aren't. Therefore your answer is x+2y+2.
= 6p + 36 +2p + 8
= 8p + 44
Cost of each gallon of paint = x=$17
and Cost of each brush = y=$5.5
Step-by-step explanation:
Let Cost of each gallon of paint = x
and Cost of each brush = y
So, You purchase 8 gal of paint and 3 brushes for $152.50 can be written as:
![8x+3y=152.50](https://tex.z-dn.net/?f=8x%2B3y%3D152.50)
you purchase 6 gal of paint and 2 brushes for $113.00 can be written as:
![6x+2y=113.00](https://tex.z-dn.net/?f=6x%2B2y%3D113.00)
solving these equations to find value of x and y
![8x+3y=152.50\,\,\,(1)\\6x+2y=113.00\,\,\,\,(2)](https://tex.z-dn.net/?f=8x%2B3y%3D152.50%5C%2C%5C%2C%5C%2C%281%29%5C%5C6x%2B2y%3D113.00%5C%2C%5C%2C%5C%2C%5C%2C%282%29)
Multiply eq(1) with 2 and eq(2) with 3
![16x+6y=305\\18x+6y=339\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\-2x=-34\\x=\frac{-34}{-2}\\ x=17](https://tex.z-dn.net/?f=16x%2B6y%3D305%5C%5C18x%2B6y%3D339%5C%5C-%5C%2C%5C%2C%5C%2C%5C%2C-%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C-%5C%5C--------%5C%5C-2x%3D-34%5C%5Cx%3D%5Cfrac%7B-34%7D%7B-2%7D%5C%5C%20x%3D17)
So, value of x=17
Putting value of x=17 into eq(1)
![8x+3y=152.50](https://tex.z-dn.net/?f=8x%2B3y%3D152.50)
![8(17)+3y=152.50\\136+3y=152.50\\3y=152.5-136\\3y=16.5\\y=\frac{16.5}{3}\\y=5.5](https://tex.z-dn.net/?f=8%2817%29%2B3y%3D152.50%5C%5C136%2B3y%3D152.50%5C%5C3y%3D152.5-136%5C%5C3y%3D16.5%5C%5Cy%3D%5Cfrac%7B16.5%7D%7B3%7D%5C%5Cy%3D5.5)
So, value of y= 5.5
Cost of each gallon of paint = x=$17
and Cost of each brush = y=$5.5
Keywords: algebraic word problems
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