Hi there!
x - 3y = 9
x = 9 + 3y
-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4
x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21
So, your answers are y = -4 and x = 21.
Hope this helps!
Hello!
If William originally won 50 tickets, redeemed 30, and gave 5 to his friend, the expression that represents how many tickets he has left is:
50-30-5
If you are looking for how many tickets William has left, you simply need to solve the expression:
50-30-5 = 15
I hope this helps you! Have a great day!
Answer: M'(2, - 5), L'(-2, -5), j'(-4, - 1)
Step-by-step explanation:
When we do a reflection over a given line, the distance between all the points (measured perpendicularly to the line) does not change.
The line is y = 1.
Notice that a reflection over a line y = a (for any real value a) only changes the value of the variable y.
Let's reflect the points:
J(-4, 3)
The distance between 3 and 1 is:
D = 3 - 1 = 2.
Then the new value of y must also be at a distance 2 of the line y = 1
1 - 2 = 1
The new point is:
j'(-4, - 1)
L(-2, 7)
The distance between 7 and 1 is:
7 - 1 = 6.
The new value of y will be:
1 - 6 = -5
The new point is:
L'(-2, -5)
M(2,7)
Same as above, the new point will be:
M'(2, - 5)
Step-by-step explanation:
Communicative property states that, in addition, integers added in any order will still give the same answer.
So in this question,
rather than first adding 8 + (-5), we add 8 + (-8)
We know that a number + its additive Inverse (opposite sign) is equal to zero
And we know any number added to zero is equal to the number.
So we can quickly find out that the sum is -5
