Question

if 7x+3y=10 is a true equation, what would the value of 7x + 3y -2?

Answer 1

If the equation 7x + 3y = 10 is true, then by substituting the value of y in terms of x we can find the value of 7x + 3y -2.

First, let's isolate y in the equation:
7x + 3y = 10
3y = 10 - 7x
y = (10 - 7x)/3

Now we can substitute this value of y into the expression 7x + 3y - 2:
7x + 3y - 2 = 7x + 3[(10 - 7x)/3] - 2 = 7x + 10 - 7x - 2 = 10 - 2 = 8.

So the value of 7x + 3y - 2 is 8.