Answer: 6 - 5
<u>Step-by-step explanation:</u>
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
Okay so for substitution, chose one of of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
x=4y+16.
Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)
Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
6(4y+16)-4y=36
Now, multiply the 6 with the 4y and 16. you would then have:
24y+96-4y=36.
Now, combine your like terms to get:
20y+96=36
Then subtract 96 to both sides:
20y=-60
Then divide both sides so that you have y all by itself:
y=-30!
You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16:
x+4(-30)=60
Solve for x:
x-120=60
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180
I hope this helped:)
Answer: 90
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
4 units right is positive 4 on the x axis, 7 units down is negative 7 on the y axis
