System solution

Happymom

New member
Hi I need help with this problem

Determine if (-5,5) is a solution to the given system of equations

6x - 3y = -45
x + 3y = -15

Thanks

Jameson

Staff member
Hi I need help with this problem

Determine if (-5,5) is a solution to the given system of equations

6x - 3y = -45
x + 3y = -15

Thanks
Hi Happymom! Welcome to MHB

To check this, you need to "plug in" -5 for x and 5 for y. Let's try the first one.

6x - 3y = 45

6(-5)-(3)(5) is the left hand side after we plug in x and y that they gave us. If we simpligy that we get -30-15=-45, which is good because in order to be a solution the left and right hand sides must be equal at the solution point.

Can you test the second equation?

Happymom

New member
Hi Jameson

would x = -5 for x + 3y = -15

Jameson

Staff member
Hi Jameson

would x = -5 for x + 3y = -15
Exactly! I forgot to mention the point (-5,5) is using the general form of (x,y). You'll see that often in graphing so it's worth memorizing. What do you get after plugging in x and y for the 2nd line?

Happymom

New member
Jameson

I'm stumped! Can you show thanks