Answer:
[tex]y=-18[/tex]
Step-by-step explanation:
So we know that:
[tex]x=2+2t\text{ and}\\y=t-21[/tex]
And we want to figure out the value of y when x is 8.
So first, substitute 8 into the first equation:
[tex]8=2+2t[/tex]
Solve for t. Subtract 2 from both sides:
[tex]6=2t[/tex]
Divide both sides by 2:
[tex]t=3[/tex]
Now, substitute this into the second equation for t:
[tex]y=(3)-21[/tex]
Subtract:
[tex]y=-18[/tex]
So, the value of y is -18.
And we're done!
