Do the equations x = 5y + 3 and x = 5y – 3 have the same solution? How might you explain your answer to someone who has not learned algebra? 200 words or better
Eq1: X = 5y + 3.
Eq2: X = 5y - 3.
Substitute 2 for Y in each Eq and solve
for X:
Eq1: X = 5*2 + 3 = 10 + 3 = 13.
Eq2: X = 5*2 - 3 = 10 - 3 = 7.
The value of the 1st term in each Eq is 10. In Eq1, we add 3 to 10. But in Eq2,
we subtract 3 from 10. Therefore, the
solutions cannot be the same.