Question

Suppose that x = 2+2t and y = t - 21. If x = 8, what is y?

Answer 1

Answer:

$y=-18$

Step-by-step explanation:

So we know that:

$x=2+2t\text{ and}\\y=t-21$

And we want to figure out the value of y when x is 8.

So first, substitute 8 into the first equation:

$8=2+2t$

Solve for t. Subtract 2 from both sides:

$6=2t$

Divide both sides by 2:

$t=3$

Now, substitute this into the second equation for t:

$y=(3)-21$

Subtract:

$y=-18$

So, the value of y is -18.

And we're done!