If x=3t-8 and y=4+t, what equation expresses y in terms of x?

If x = 3t - 8 and y = 4 + t , then the equation represents variable y in terms of x.

Solution:

Given two equations are

x = 3t - 8   ------(1)

y = 4 + t    ------(2)

Need to determine the equation which express y in terms of x.

If we observer the two equations, common variable between the two is variable t.

So let’s first get the value of t in terms of x from equation 1.

Hence equation represents variable y in terms of x.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.