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A carpenter uses two different types of paint in his work, X-Brand and Y-Brand (represented by the x and y variables respectively in the system of equations below). The system of equations represents the total cost and amount of paint he purchased for a client. Determine the cost, in dollars, of the X-Brand.
2x+5y=6
−x+2y=−3

Respuesta :

Answer

$3

Step-by-step explanation:

To find the x value, you want to cancel out the y terms in the equations. To do so, multiply (2x+5y=6) by 2, and (-x+2y=-3) by -5. This gives you

4x+10y=12

5x-10y=15

You can then cancel out the y terms and add the other terms from the 2 equations together to make

9x=27

You then divide 27 by 9 to get 3 as the value for x.

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