Is (-1,5) a solution of each system?

Question

It says: Is (-1,5) a solution of each system? Explain.

and heres the problem..

y=-x+4
and
y=-1/5x


Helpp plzz

Answer 1

The point (-1,5) is in (x,y) format. It's a solution for each system if by plugging in x = -1 to the equation you get y = 5.

So in the first case
y = x + 4 = -(-1) + 4 = 5
It is a solution for the system

y = -(-1)/5 = 1/5
It is NOT a solution for the system.

Answer 2

(-1,5) means that x = -1, and y = 5

if you fill these two values into the equations :

y=-x+4
y=-1/5x

you see that for the first equation
y=-x+4
5 = -(-1) + 4 : true thus (-1,5) is a solution of the first equation.

now the second equation
y=-1/5x
fill in x = -1, and y = 5 gives
5 = -1/5 * -1 : false false 5 is not the same as -1/5 * -1, thus (-1,5) is not a solution of y=-1/5x.

Answer 3

(-1, 5) is in the (x, y) form.
So, substitute these numbers for x and y and solve.
If the result is true, then the pair is a solution.
Otherwise, it is not a solution.

y=-x+4
5=-(-1)+4
5=1+4
5=5 is a solution

y=-1/5x please use parentheses to make clear what is in the numerator and what is in the denominator. Luckily, in this case it doesn't matter.

y=(-1/5)x
5=(-1/5)(-1)
5=1/5 not a solution

y=-1/(5x)
5=-1/(5(-1))
5=-1/(-5)
5=1/5 not a solution

The point (5, -1) would however be a solution to both systems.
-1=-5+4
-1=-1

-1=(-1/5)5
-1=-1

Answer 4

It means does that coordinate pair fit in with both equations.

y=x+4 --- If x = -1..
y=-1+4
y = 3 - This one is incorrect.

y=-1/5x
y=-1/5(-1)
y = -1/5 (-1)
y = 1/5

This one is incorrect too. It fits into neither of the problems.