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den301095 [7]
3 years ago
7

1. What is the solution to the system of equations?

Mathematics
2 answers:
inysia [295]3 years ago
4 0
<span> Use the substitution method to justify that the given system of equations has no solution.</span>
ANTONII [103]3 years ago
4 0
Solution to the 1st equation: x
3x-6y=-12
3(x-2y)=-12
x-2y=-4
→x=2y-4

Solution to the 1st equation: y
3x-6y=-12
3(x-2y)=-12
x-2y=-4
-2y=-4-x
→y=-4-x/2
You might be interested in
By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00pm positive or negative?
Ad libitum [116K]

Answer:

Part a) The temperature at noon was -3°F

Part b) The temperature at 3:00 pm was +2°F

Part c) The temperature at 11:00 pm was -6°F

Step-by-step explanation:

The complete question is

When Leo woke up he saw that the temperature was -8°F. By noon the temperature has increased 5°F. Part a) What was the temperature at noon?

Part b) By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00 pm positive or negative?

Part c) By 11:00 pm, the temperature had dropped 8°F. Was the

temperature at 11:00 PM positive or negative? Explain.​

Part a) we know that

You can use a number line to adds the numbers

-8+5=-3°F

therefore

The temperature at noon was -3°F

Part b) we know that

the temperature increased by another 5 degrees

You can use a number line to adds the numbers

-3+5=+2°F

therefore

The temperature at 3:00 pm was +2°F

Part c) we know that

the temperature had dropped 8°F

You can use a number line to adds the numbers

2-8=-6°F

therefore

The temperature at 11:00 pm was -6°F

6 0
3 years ago
Help me please as soon as possible
SIZIF [17.4K]
If each case weighs 24 pounds, then 1p=24 pounds. so if we're trying to find a function of weight, p=24c.

Example: When you have 2 cases, you plug in a 2 for c

p=24c
p=24(2)
p=48

So if you have two cases, it will total 48 pounds,

So that is why the equation is p=24c. Hope this helps!


6 0
3 years ago
how do you write the equation of a line in slope-intercept form when given two points on the line? the two points are (-4,4) and
Feliz [49]
Y=7x+ 32 you find slope and y intercept
6 0
3 years ago
What is the slope of a line that passes through the points (-5,-3) and (9,-6)
kipiarov [429]
To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3)  (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1      -6-(-3)     -9
-------- =   -------- =  ----
x2-x1       9-(-5)     14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14


7 0
3 years ago
Given: BD bisects ABC. Auxiliary EA is drawn such that AE || BD. Auxiliary BE is an extension of BC
AnnZ [28]
The required proof is given in the table below:

\begin{tabular}{|p{4cm}|p{6cm}|} &#10; Statement & Reason \\ [1ex] &#10;1. $\overline{BD}$ bisects $\angle ABC$ & 1. Given \\&#10;2. \angle DBC\cong\angle ABD & 2. De(finition of angle bisector \\ &#10;3. $\overline{AE}$||$\overline{BD}$ & 3. Given \\ &#10;4. \angle AEB\cong\angle DBC & 4. Corresponding angles \\&#10;5. \angle AEB\cong\angle ABD & 5. Transitive property of equality \\ &#10;6. \angle ABD\cong\angle BAE & 6. Alternate angles&#10;\end{tabular}
\begin{tabular}{|p{4cm}|p{6cm}|}&#10;7. \angle AEB\cong\angle BAE & 7. Transitive property of equality \\&#10;8. \overline{EB}\cong\overline{AB} & 8. From 7. $\Delta ABE$ is isosceles \\&#10;9. EB = AB & 9. De(finition of congruence \\ 10. $\frac{AD}{DC}=\frac{EB}{BC}$ & 10. Triangle proportionality theorem \\&#10;11. $\frac{AD}{DC}=\frac{AB}{BC}$ & 11. Substitution Property of equality \\[1ex] &#10;\end{tabular}&#10;
7 0
3 years ago
Read 2 more answers
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