Question

7x - 2 = 2y
3x = 2y - 1
Solve the system of equations by substitution.

Answers:
(3/4, 13/8)

(1/4, -1/8)

no solution

coincident

I got conicident? yes or no?

Answer 1

do you HAVE to use substitution?
Elimination would honestly be much better.

Answer 2

you think?

Answer 3

yes, of course

Answer 4

\(\large\color{slate}{ 7x - 2 = 2y }\)
\(\large\color{slate}{ 3x = 2y - 1 }\)

rearranging the 2nd equation
\(\large\color{royalblue}{ 7x - 2 = 2y }\)
\(\large\color{royalblue}{ 3x +1= 2y }\)

multiplying the 2nd equation by -1
\(\large\color{royalblue}{ 7x - 2 = 2y }\)
\(\large\color{royalblue}{ -3x -1= -2y }\)

Answer 5

Now add the equations, what do you get?

Answer 6

4x -3 = 0 right ?

Answer 7

wait 4x -1= 0 ?

Answer 8

yes. 4x-3=0

Answer 9

So, x=?

Answer 10

3/4 right ?

Answer 11

so i got the answer (3/4 , 13/8) is that right ?

Answer 12

yes, x=3/4

Answer 13

3x+1=2y
3(3/4)+1=2y
9/4+1=2y
9/4+4/4=2y
13/4=2y
y=13/8

Answer 14

very good.

Answer 15

sorry for replying late