Answer:
(-3,1)
hope this helps!
Step-by-step explanation:
5x+2y=29
x+4y=13
Let's eliminate y;
To do so, multiply equation1 by 2;
10x+4y=58
x+4y=13
Subtract equation II from equation I to get;
9x=45
x=5
To solve for y, replace value of x in equation II,
x+4y=13
5+4y=13
4y=8
y=2
Answer:

Step-by-step explanation:

Apply natural log property
ln mn=ln m + ln(n), ln(m/n)=ln(m)-ln(n)


All natural log has base 'e'

cross multiply


add 6e^3 on both sides and -x on both sides


Divide e^3-1 on both sides

Answer: The right option that represents possible inputs and outputs of the function is the ordered pair
{(-2, -18), (2, 14), (0, -2)}
Step-by-step explanation:
By crosschecking;
Y=8x-2
When x=-2 , y= 8(-2) -2 , y= -16-2, y=-18 . (-2,-18)
When x=2 , y= 8(2) -2 , y= 16-2, y= 14
(2,14)
When x=0 , y= 8(0) -2 ,y= 0-2, y= -2
(0,-2)
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example.
= 1. So in order to get a coefficient of 1, let's divide both sides by -10

Divide, and cancel:
The zeros cancel out, leaving the equation as:

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!