Question

Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5.

Answer 1

Answer:

c. x = t-1/4 ; y = 3t + 2

Step-by-step explanation:

Answer 2

Answer:

Answer C:  $x=\frac{t-1}{4}$ and $y=3t+2$

Step-by-step explanation:

Solve for x in the first equation given:

$t=4x+1\\t-1=4x\\\frac{t-1}{4} = x$

Now use this expression to replace x in terms of t in the second equation:

$y=12x+5\\y=12(\frac{t-1}{4}) +5\\ y=3(t-1)+5\\y=3t-3+5\\y=3t+2$