Question

Which ordered pair is the best estimate for the solution of the system of equations? y=32x+6 y=14x−2

Answer 1

since y = both rewrite as

32x+6 = 14x-2 and solve for x

32x +6 = 14x-2

add 2 to both sides:

32x +8 = 14x

subtract 32x from both sides:

8 = -18x

divide both sides by -18

x = 8/-18 which reduces to -4/9

now use that for x and solve for Y

32(-4/9) +6 = -74/9

ordered pair:

(-4/9, -74/9)