For the solution (x, y) to the system of equations what is the value of x- y? 7x+3y=8 6x-3y=5

  2/3

Step-by-step explanation:

Let's  define z = x-y, so solving for z will tell us exactly what we want to know. Then we can substitute for x: x = z+y, and our equations become ...

  7(z+y)+3y = 8   ⇒  7z +10y = 8

  6(z+y)-3y = 5   ⇒   6z +3y = 5

We can eliminate the y-variable by subtracting 3 times the first equation from 10 times the second:

  10(6z +3y) -3(7z +10y) = 10(5) -3(8)

  60z +30y -21z -30y = 50 -24 . . . . eliminate parentheses

  39z = 26 . . . . collect terms

  z = 26/39 = 2/3 . . . . . divide by the coefficient of z and reduce

The value of x - y is 2/3.

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The attached graph shows (x, y) = (1, 1/3), so x - y = 1 - 1/3 = 2/3.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

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