Answer:
(-6,-5)
x=-6
y=-5
Explanation:
9x-7y=-19
5x-3y=-15
When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.
We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)
{9x-7y=-19}*3=
27x-21y=-57
{5x-3y=-15}*(-7)=
-35x+21y=105
Now, we combine the two equations.
27x-21y=-57
-35x+21y=105
-8x=48
Now, solve for x.
-8x=48
x=-6
Now we can plug x into one of the original equations to get y.
I will use 9x-7y=-19.
9(-6)-7y=-19
-54-7y=-19
Add 54 to both sides.
-7y=35
y=-5
We can put these values into an ordered pair: (-6,-5).