Question

Solve each system of equations by graphing
2x+5y=5
y=2/5x+5

Answer 1

Isolate the variable y to the left-hand side of the equation for the first equation. Then you have two equations with y isolated and as functions of x. Then you can graph them.

Answer 2

If you have a Ti 84 or Nspire, you can graph them on it and the answer will be the intercept(s).

Answer 3

Nope i don't have either

Answer 4

Wait, plug in the y value your given into the first equation.

Answer 5

Have you heard of wolfram alpha?

Answer 6

@overtonka , yes I tagged you lol

Answer 7

What calc do you have?

Answer 8

i don't have one

Answer 9

There is your (x,y) coord.

Answer 10

@overtonka you can use that site as a calc.

Answer 11

thanks

Answer 12

Of course, aero was right also. You could change it to y=mx+b form and graph them on paper. Do you really understand?

Answer 13

no lol

Answer 14

I want to be a teach, so ok. Here we go.

Answer 15

What method do you want to use?

Answer 16

i think that i am best at elimination

Answer 17

Can you tell me the first step in that?

Answer 18

get the same numbers

Answer 19

Give me a sec...

Answer 20

@Aeronautix can you take over from here, I need to go and dont want to leave her hanging.

Answer 21

Using substitution, we get..


2x+5y=5

2x+5(2/5x + 5)=5 ... plug in y = 2/5x+5 ... ie replace y with 2/5x+5

2x + 2x + 25 = 5 ... distribute

4x + 25 = 5

4x = 5 - 25

4x = -20

x = -20/4

x = -5

So the x part of the solution is x = -5. You would then use this x value to find y

y = (2/5)*(-5) + 5

y = -10/5 + 5

y = -2 + 5

y = 3

and the y part of the solution is y = 3

The graph will confirm this visually because the two lines intersect at (-5,3)

Answer 22

A plot is attached.