For this system, is the ordered pair a solution of both equations?How do you know?
(5,1) y=-x+4
y=x-6
No, it is not because when you plug in x for the first equation you get -1 as y, not 1. And for the second equation when you plug in 5 for x you get -1 again, not 1.
aight the first thing u do is sub in the coordinates for x and y
so in the first equation ur x will be 5 and y will 1
then u solve the problem and both sides should be equal
so ur equation should look like this
1=5+4
1=9- as u can see both sides don't equal the same ( so it doesnt work for the first one, from there u have answered the question since it says doesn it work for BOTH solution and it doesnt)
but for practice u should try the second one
y=x+6
1=5-6
1=-1( as u can see it doesnt work for this one either, so now u have ur answer that no it doesnt work)
p.s- a solution that would work would be something like this
coordinates 1,5
y=x+4
y=5*x
cuz when u sub the x and the y they both equal 1
thx
To determine if the ordered pair (5,1) is a solution to both equations, you need to check if it satisfies both equations.
First, let's check if it satisfies the first equation, y = -x + 4:
Substitute the values x = 5 and y = 1 into the equation:
1 = -(5) + 4
1 = -5 + 4
1 = -1
Since 1 does not equal -1, the ordered pair (5,1) is not a solution to the first equation.
Next, let's check if it satisfies the second equation, y = x - 6:
Substitute the values x = 5 and y = 1 into the equation:
1 = (5) - 6
1 = 5 - 6
1 = -1
Again, since 1 does not equal -1, the ordered pair (5,1) is not a solution to the second equation.
Therefore, the ordered pair (5,1) is not a solution to either equation.