Answer:
2x-2=8
Step-by-step explanation:
2x-2=8
2x=8+2
2×=10
2×÷2×=10÷2
×=5
60·3
300% in decimal form is 3
6x + 4y = 24
2x - 4y = -8
We will use the addition method in solving this system of equation.
6x + 4y = 24
+ (2x - 4y = -8)
8x + 0 = 16
8x = 16
x = 16/8
x = 2
Let us substitute x by its value to get the value of y.
6x + 4y = 24
→ 6(2) + 4y = 24
12 + 4y = 24
4y = 24 - 12
4y = 12
y = 12/4
y = 3
2x - 4y = - 8
→ 2(2) - 4y = - 8
4 - 4y = - 8
-4y = - 8 - 4
-4y = -12
y = -12/-4
y = 3
So x = 2 and y = 3. → (2,3)
The true statement among the choices are:
A) The ordered pair that is the solution to the system lies in Quadrant I .
<span>B) The y-coordinate of the solution is 3.
</span><span>D) The x-coordinate of the solution is 2.</span>
Answer:
$2 for soda and $1.5 for a bottle of water
Step-by-step explanation:
You start by turning both situations into an equation
Let x represent bottles of water and y represent sodas
Saturday:

Sunday:

You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:
50÷40=1.25
You then times the whole equation by -1.25
40x+25y=110
×-1.25
-50x+-31.25y= -137.5
You then add this equation by Sunday's equation
50x+45y=165
-50x+-31.25y=-137.5
13.75y=27.5
You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring
13.75y=27.5
×1.09 recurring
15y=30
15y/15=30/15
y=2
Now that we know y = 2
We can use either Saturday or Sunday's equation to figure out the value of 
Let's use Sunday's:
50x+45×2=165
50x+90=165
50x+90-90=165-90
50x/50=75/50
x=1.5
Let's check our answer with Saturday's equation
40×1.5+25×2=110
This equation is correct
Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda
Answer:
The equation of a line parallel to the line and passing through (1, -1) is:
Step-by-step explanation:
Given the line
y = -3
We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
Thus, the slope of the equation y=-3 will be m = -3
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line will also be -3.
Thus, using the point-slope form to find the line equation is

substituting the values m = -3 and the point (1, -1)
y-(-1) = -3(x-1)
y+1 = -3x+3
y=-3x+3-1
y=-3x+2
Thus, the equation of a line parallel to line and passing through (1, -1) is: