Question

Solve System of Linear Equations

Answer 1

y=\[\frac{ 3 }{ 2}x - 9\]

Answer 2

x-5y-6=0

Answer 3

the top is y= 3/2xx - 9

Answer 4

Yeah

Answer 5

my latex fails lol

Answer 6

so you have \[\huge \begin{array} &y = \frac 32 x - 9 \\ x - 5y - 6 = 0 \end{array}\]
is that right?

Answer 7

there

Answer 8

Okay so am I supposed to change it into slope intercept form?

Answer 9

You can sole system of equations in three ways.
1. Substitution Where you have maybe the value of y, and you plug in y to the second equation or vice versa.
2. Elimination - where you set up the two equations so that you can add them together and one of the variables cancels out.
3. Graphing - if it is simple to graph, you can do that and find where they meet, those coordinates are the solutions (x,y)

Answer 10

I tried substitution but it did not work out

Answer 11

this is what I did

Answer 12

yes, substitution would be the easiest because it gives you both values

Answer 13

ok so can I show you my steps?

Answer 14

yes, go ahead.

Answer 15

So since y is already by itself I am going to start there

Answer 16

wait I think I am supposed to change the second equation into slope intercept form
so I'll do that

Answer 17

no no. that is only if you want to line it up for elimination.

Answer 18

oh

Answer 19

Subsitution. USE the values and SUBSTITUTE

Answer 20

x -5y-6=0
plug in the y into that equation

Answer 21

So let me start over

Answer 22

where y is plug the first equation in there

Answer 23

x-5(3/2x-9) - 6 = 0

Answer 24

So now I distribute

Answer 25

x-7.5x+45-6=0

Answer 26

x-7.5x+39=0

Answer 27

-6.5x + 39 = 0

Answer 28

-6.5x = -39

Answer 29

x = 6

Answer 30

good now plug x back into any of the two original equations, and you will get the value of y.

Answer 31

so so far you have for your solution (6,y)

Answer 32

y = 0

Answer 33

Thanks!