Question

PLEASE HELP DUDE I'M PANICKING OVER THIS I WILL GIVE BRAINLIEST
Use the substitution method to prove that the two equations have no solution: 7x-5y=21 14x+10y=33 What do you know about the two lines?

Answer 1

Answer: Not my answer, but this is what i got from AI

Step-by-step explanation:

Let's solve the first equation, 7x-5y=21, for x:

7x = 5y + 21

x = (5y + 21) / 7

Now, substitute this expression for x into the second equation, 14x+10y=33:

14((5y + 21) / 7) + 10y = 33

Let's simplify this equation step by step:

14 * (5y + 21) / 7 + 10y = 33

(10y + 42) + 10y = 33

20y + 42 = 33

20y = 33 - 42

20y = -9

y = -9/20

Now that we have found the value of y, let's substitute it back into the expression for x:

x = (5 * (-9/20) + 21) / 7

x = (-9/4 + 21) / 7

x = (-9/4 + 84/4) / 7

x = 75/28