Answer:
b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.
Step-by-step explanation:
Parallel Lines:
Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.
Now, if the graphs of the linear equations in a system are parallel
⇒ By the definition, both the graphs have NO INTERSECTING POINT.
⇒There is not even one common point available to the given system of
equation.
Hence, There is no solution to the given system of equation.
Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
Hey there!
In order to solve this, remember PEMDAS. First, start with solving whatever is in parentheses. Then, move on to exponents. Then, complete the multiplication and division. Lastly, add or subtract anything remaining. Omit any steps that aren't present.
Parentheses:
<span>1 – 5 + 1 × (4 × 4 – 31) × 8
</span>1 – 5 + 1 × (–15) × 8
Multiplication/Division (Left to Right):
1 – 5 + (–15) × 8
1 – 5 + (–120)
1 – 5 – 120
Addition/Subtraction (Left to Right):
–4 – 120
–124
Your answer is –124.
Hope this helped you out! :-)
Answer:
10(5x - 6).
8(2m + 5).
9(3 - 5c)
Step-by-step explanation:
Given that
50x-60
16m+40
27-45c
The greatest common factor is a measure of the highest number present inside, or common to all the numbers that were listed. To take this one at a time, we have....
50x - 60. The highest number common to both of them is 10, and thus, we have
50x - 60 = 10(5x - 6), and this is the solved part.
16m + 40. The greatest number that's present inside both numbers is 8, and thus we have
16m + 40 = 8(2m + 5) and this is the solved part.
27 - 45c. The greatest common number is 9, and as a result, we have
27 - 45c = 9(3 - 5c), and this is the solution we were searching for
