Find the ordered pair of x=5y-7 and x+5y=8

The desired ordered pair is (1/2, 3/2).

Step-by-step explanation:

Let's use the substitution method here to determine either x or y first:

x = 5y - 7 (given). Then 5y - 7 can be substituted for x in x + 5y = 8:

5y - 7 + 5y = 8.

Combining like terms, we get 10y = 15, so that y = 3/2.

Find x by substituting 3/2 for y in x = 5y - 7: x = 5 (3/2) - 7 = 15/2 - 14/2 = 1/2

The desired ordered pair is (1/2, 3/2).