Question

Solve the system of equatiosns and choose the correct ordered pair 3x+5y=6 4x+2y=-6

Answer 1

Step-by-step explanation: the equation for 3x+5y=6 is equal to 3

for 4x+2y=-6 you would have to do -6 minus 2 and you will get -8 bring that down. then that 4x you have left bring it down and if the variable is close to the number you do the opposite. for example you would have to divide 4 into -8 and you will get -32.

Answer 2

The solution is, x = -3, y = 3

And so the ordered pair is (-3,3)

Explanation:

We have the equations,

`3x+5y=6 \ (i)\\ 4x+2y=-6 \ (ii)\\`

Solving,

from (ii),

`4x+2y=-6\\dividing \ both \ sides \ by \ 2,\\(4/2)x+(2/2)y=-6/2\\2x+y=-3 \ (iii)`

So,

`2x +y =-3\\y=-3-2x`

Putting value of y in (i),

`3x+5(-3-2x)=6\\3x-15-10x=6\\-7x-15=6\\-15=6+7x\\-15-6=7x\\-21=7x\\x=(-21/7)\\x=-3`

Using this to find y,

from y = -3-2x,

`y=-3-2x\\since \ x=-3,\\y=-3-2(-3)\\y=-3+6\\y=3`

Hence we get x = -3, y = 3

The ordered pair is, (-3,3)