Question

When solving the system by substitution, what would you plug into the second equation for the letter x?

x+2y=4
2x+2y=6

x = 2
x = 4-2y
x = 4
x = 2y+4

Solve the following system of equations by graphing.

x + 2y = 4
2x + 4y = 8

What is the solution?

Answer 1

\(\large\color{black}{ x+2y=4 \\ 2x+2y=6 }\)

Answer 2

when you use substitution, rearrange the first equation
\(\large\color{black}{ x+2y=4 }\)
subtract 2y from both sides,
\(\large\color{black}{ x+2y\color{red}{-2y}=4\color{red}{-2y} }\)

Answer 3

so what will you get after subtracting 2y from both sides?

Answer 4

\[x=4 ?\]

Answer 5

Can you help me with another question ?

Answer 6

you are close actually, I kept getting disconnected so couldn't reply right away

Answer 7

\(\large\color{black}{ x+2y\color{red}{-2y}=4\color{red}{-2y} }\)

\(\large\color{black}{ x\cancel{~+2y~} \cancel{~\color{red}{-2y}~}=4\color{red}{-2y} }\)

\(\large\color{black}{ x=4-2y }\)

Answer 8

so your answer for question 1 is?

Answer 9

Ohh I get it now (: Thanks. And I'm not sure how to do this problem ..
Solve the following system of equations by graphing.

x + 2y = 8
x + 2y = -4

What is the solution

Answer 10

you have to graph the equations and tell me where they intersect.
https://www.desmos.com/calculator/e6rrarfcqe

Answer 11

It looks like they are parallel ?

Answer 12

Would that mean no solution ?

Answer 13

yesm, correct. They are parallel, and thus have no solution.

Answer 14

Cool! You're amazing. Thank youuu

Answer 15

I'm not.... just helping.
You are welcome!