Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
I am joyous to assist you anytime.
Answer:
Subtraction property of equality
Step-by-step explanation:
You subtracted c from both sides of the equation to preserve equality
<h3>
Answer: choice B) 2 by 6</h3>
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How I got that answer:
Opposite sides of the rectangle are the same length, so
y = 2x-4 (horizontal sides)
3y = x+3 (vertical sides)
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Start with the second equation. Replace the 'y' with (2x-4) which is from the first equation. This replacement will allow us to solve for y
3y = x+3
3(2x-4) = x+3 .. replaced y with (2x-4)
6x-12 = x+3 ... distribute
6x-12+12 = x+3+12 ..... add 12 to both sides
6x = x+15
6x-x = x+15-x ..... subtract x from both sides
5x = 15
5x/5 = 15/5 ........ divide both sides by 5
x = 3
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Now we know the value of x, which means we can find the value of y
y = 2x-4
y = 2*3-4 .... replace x with 3
y = 6-4
y = 2
So the horizontal side is 2 units long
The vertical side is therefore 3y = 3*2 = 6
or we can say x+3 = 3+3 = 6 getting the same answer
Answer:
-4 ≤ y ≤ 2 or [-4 , 2]
Step-by-step explanation:
The maximum of the function is +2 while the minimum is -4, the range is
-4 ≤ y ≤ 2 or [-4 , 2]
Answer:
Let the total distance Aileen ran be 'x'
Let the distance ran by Andrew be 'y'
Refer to graph attached for graphical representation of distance travelled by both.
Applying the formula,
distance=speed*time
x=20*t Equation 1
y= 15*t equation 2
Since it can be easily understood by the graph attached, that
x=150+y equation 3
Now putting values of x and y in equation 3
20*t =150 +15*t.
5t= 150
t=30 seconds.
putting the values of t in both the equation 1 and 2
x=20t
=20*30
x = 600 feet
So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.
Step-by-step explanation:
Do not mind the names just change them. I had the same question before with different names so that is why. Hope this helps:)