<h3>
Solution (1):</h3>
<u>Given:</u>
<u>Multiplying y = 3x - 5 by 2:</u>
y = -6x - 5
y = -6x - 5
<u>Adding both equations:</u>
<u>Dividing 3 both sides:</u>
<u>Substitute the value of y into any equation.</u>
- y = -6x - 5
- => -5 = -6x - 5
- => 0 = -6x
<u>Divide -6 both sides.</u>
<h3>
Solution (2):</h3>
<u>Given:</u>
<u>Add both the equations.</u>
y = -8x + 7
<u>Divide 2 both sides.</u>
- 2y = -2
- => 2y/2 = -2/2
- => y = -1
<u>Substitute the value of y into any equation.</u>
<u>Add 9 both sides.</u>
- => -1 + 9 = 8x - 9 + 9
- => 8 = 8x
<u>Divide 8 both sides.</u>
<h3>
Solution (3):</h3>
<u>Given:</u>
<u>Reorganize the first equation.</u>
- -x + 6y = 21
- => 6y = x + 21
<u>Multiply the first equation by 5.</u>
y = -5x + 12
y = -5x + 12
<u>Add both the equations.</u>
<u>Divide 31 both sides.</u>
- 31y = 117
- => 31y/31 = 117/31
- => y = 117/31
<u>Substitute the value of y into any equation.</u>
- -x + 6y = 21
- => -x + 6(117/31) = 21
- => -x + 702/31 = 651/31
<u>Subtract 702/31 both sides.</u>
- => -x = 651/31 - 702/31
- => -x = -51/31
- => x = 51/31
Answer:
This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions.
Step-by-step explanation:
A sequence of rigid motions that maps a pre-image to a congruent image can contain fewer than two unique rigid motions.
Answer:
300
Step-by-step explanation:
2:3 means total 5 so 500/5=100
2×100=200 picture books
3×100=300 chapter books
Answer:
8r and -4r
3s and -3s
second andd fourth answer
Answer:
Step-by-step explanation:
We have the following functions:
and
First we find
To find we must add the function f(x) with the function g(x)
Now we find
To find we must subtract the function f(x) with the function g(x)