Question

Determine the solution of the system. Show your work. Y=5x-9 y=2x+6

Answer 1

Set y = y

5x - 9 = 2x + 6

Answer 2

Huh

Answer 3

I'm not good at this stuff at all

Answer 4

If y = something, and y also = something else, you can set the something= to something else.

Answer 5

solve
5x - 9 = 2x + 6

for x

Answer 6

X=3 I'm guessing ?

Answer 7

-3x

Answer 8

subtract 2x from both sides of the equation first

5x - 2x - 9 = 2x - 2x + 6

3x - 9 = 6

Now add 9 to both sides of the equation,

3x - 9 + 9 = 6 + 9
3x = 15

Divide Both sides of the equation by 3.

3/3 x = 15/3
x = 5

Answer 9

Use that value , x = 5, and put it into either of the original equations for y= , and calculate y when x=5

Answer 10

The solution is the point where the two lines,

y = 5x - 9 and y = 2x + 6

intersect on the coordinate plane. (x,y)

Answer 11

I still don't get it .... 15,1 or 2,1

Answer 12

@DanJs

Answer 13

@DanJS

Answer 14

do you see how Dan got x = 5 ?

Answer 15

Yes

Answer 16

so the answer will look like this: (5, ?)

where you replace the question mark with the y coordinate

Answer 17

you can pick on any equation with x and y in it

like y = 5x - 9

and plug in x = 5 to get the value of y

Answer 18

y = 5x - 9

y = 5(5) - 9 ... replace x with 5

y = ???

Answer 19

15

Answer 20

close

Answer 21

16

Answer 22

yes y = 16

Answer 23

we can use the other equation as well


y = 2x + 6

y = 2(5) + 6 ... replace x with 5

y = 10 + 6

y = 16


and we get the same answer for y

Answer 24

and as Dan is showing, the two lines intersect at (5,16)

so that visually confirms things