Determine whether the following statement is always, sometimes, or never true.Explain your reasoning. If the system y=ax + b and y=cx + d has exactly one solution, then .

Question

Determine whether the following statement is always, sometimes, or never true.Explain your reasoning. If the system y=ax + b and y=cx + d has exactly one solution, then .

Answer 1

a cannot = c,

and b does equal d. They have the same y intercept, (0,d) = (0,b)

but different slopes

If they had the same slope, they'd be parallel lines with no intersection and no solution

If a=c and b=d, then they're the same line, with infinite solutions