Answer: D
Step-by-step explanation:
Since both equations have the variable t, rewrite t in terms of x
x = -4t + 3
4t = 3 - x
t = [tex]\frac{3-x}{4}[/tex]
Now you can plug t into y
y = 5t - 3
y = [tex]5*\frac{3-x}{4} -3[/tex]
y = [tex]5*(\frac{3}{4} - \frac{x}{4} ) -3[/tex]
y = [tex]\frac{15}{4} -\frac{5x}{4} -3[/tex]
y = [tex]\frac{15}{4} -\frac{5x}{4} -\frac{12}{4}[/tex]
y = [tex]\frac{-5x}{4} +\frac{3}{4}[/tex]
Answer:
D
Step-by-step explanation:
x = -4t + 3
4t = 3 - x
t = (3 - x)/4
y = 5t - 3
y = 5(3 - x)/4 - 3
y = 15/4 - 5x/4 - 3
y = -5x/4 + 3/4
y = (-5/4)x + 3/4