Question

Solve the following system of equations by the substitution method.

5x = y + 6
2x - 3y = 4

What is the value of the y-coordinate?


-8/13
13/14
14/13

Answer 1

Solve the first equation for y

Answer 2

using the second equation i got y= 2/3x-4/3!

Answer 3

then do i plug in that in to 5x= y(here!)+6?

Answer 4

yes

Answer 5

i got 5x=2/3x-4/3
then would i bring the 2/3x over to the other side and then calculate?

Answer 6

yes

Answer 7

You forgot the +6

Answer 8

\[5x=\frac{2}{3}x-\frac{4}{3}+6\]

Answer 9

then would i move 2/3x to the other side??
5x-2/3x=4/3+6

Answer 10

yes

Answer 11

then i got
13/3x= 14/3 ....?

Answer 12

yes

Answer 13

after i would move 13/3 to the other side and make x=14/3-13/3 perhaps??

Answer 14

No. Multiply both sides by the reciprocal of 13/3

Answer 15

then it would be x=14/13?

Answer 16

yes. Now find y

Answer 17

it would be -8/13??

Answer 18

yes

Answer 19

Now I would like to point out how much easier the work would have been if you would have solved the first equation for y instead of the second equation.