Question

Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices
3x-y=0
5x+2y=22

Answer 1

3x-y=0
5x+2y=22

y = 3x

5x + 2(3x) = 22

5x + 6x = 22
11x = 22
x = 2

y = 3(2)
y = 6

(x,y) = (2,6)

Answer 2

Verify Equation

3x-y=0

3(2)-6=0 ... Plug in (2,6)

6 - 6 = 0

0 = 0

So (2,6) works for the first equation

------------------------------------

5x+2y=22

5(2)+2(6)=22 ... Plug in (2,6)

10+12 = 22

22 = 22

and (2,6) works for the second equation

Answer 3

okay so 2,6 is the answer is for both equations, i dont understand how to verify it though

Answer 4

so i plug it in but i'm not getting it

Answer 5

3x-y=0

3(2)-6=0 ... Plug in (2,6)

6 - 6 = 0

0 = 0
that's how you verify it? so i plug in 2,6 and it has to come out to 0?

Answer 6

if the answer 0 means it is verify the value (2,6) is correct.

Answer 7

Support if x=3 and y=6

put in value

3(3)-6=0

9-6=0

3=0

it means the x value is not verify so the value of x is wrong.

Answer 8

ok so i should put
3x-y=0
3(2)-6=0
6 - 6 = 0
0 = 0
to show thats how you verify it?
and put (x,y) = (2,6) as the answer to the equation?

Answer 9

Yes