Question

A system of equations is shown below:

y = 8x − 2
y = 9x − 7

What is the solution to the system of equations?

A (−5, 38)
B (−5, −38)
C (5, 38)
D (5, −38)

Answer 1

just checking this my answer, my answer is B am I right

Answer 2

okay so y=8x-2 so plug it into the second equation for y

8x-2=9x-7

Answer 3

8-2 = 6 and 9-7 = 2

Answer 4

no you need to add like terms

so 8x-9x=-7+2

whats 8x-9x=?
and -7+2=?

Answer 5

oh so 8-9 = 1 and -7+2 = -9

Answer 6

no you have 8 oranges you owe 9 oranges. so you give your 8 how many do you still have to give?

Answer 7

One more right?

Answer 8

yes so -1

Answer 9

8-9=-1

Answer 10

if you owe 7 oranges and you only have 2, so you give your two how many do you still owe?

Answer 11

5 Oranges

Answer 12

correct so -7+2=-5

Answer 13

-x=-5 divide both by a negative it will become x=5

Answer 14

okay so we have -1 and x=5

Answer 15

but this is making no sense to me because all of the answers are 5 and 38

Answer 16

nope we arent done all we know so far is that x=5

Answer 17

oh okay let's continue

Answer 18

so plug in 5 for x in one of the equations y=8x-2

y=8(5)-2

Answer 19

8 x 5 = 40 - 2 = 38 right?

Answer 20

correct so x=5 and y=38

(x, y)
(5,38)

Answer 21

thank you for your help once again

Answer 22

no problem c: