Question

Solve the system, using substitution. What is the x coordinate of the solution?
x = 2y - 2 and 3x - y = 14
A. 6
B. 4
C. 1
D. 0
E. no solution

Answer 1

replace x with (2y-2) in the 2nd equation

Answer 2

so the answer would be a?

Answer 3

\(x = 2y - 2
\\
3x - y = 14\implies 3(2y-2) - y = 14
\)

solve for y, plug it into one of the equations to find x

Answer 4

4?

Answer 5

yeah, A seems right

Answer 6

A?? not B?

Answer 7

\(3(2y−2)−y=14\\6y-6-y=14\\6y-y-6=14\\5y-6=14\\5y=20\\y=4\)

then we plug it back into one of the original equations

Answer 8

god, I hate this site

Answer 9

im lost

Answer 10

so we have
\(x = 2y - 2 \\y=4\)

\(x=2y-2\\x=2(4)-2\)

Answer 11

do you know how to solve by substitution?

Answer 12

no

Answer 13

there's a solution (x,y) to this system
```
x = 2y - 2
3x - y = 14
```
solving by substitution involves replacing one of the variables in one equation with part of another equation.

basically, we know that x=2y-2
using that we can plug it into the second equation and solve for the y coordinate of the system's solution

then we plug the number we get for the y into that same equation and x=8-2=6

Answer 14

Why didnt you just tell me i was right when i wrote A...

Answer 15

because you could have guessed it

Answer 16

I'm sorry for putting in 5 minutes of my time, free of charge, to try and teach you something

Answer 17

Learn to be respectful and grateful

Answer 18

¯\_(ツ)_/¯

Answer 19

http://www.alexdantas.net/lenny/