How many solutions does this system of equations have?2x – 3y = –6
2x – 3y = 9
A no solutions
B one solution
C two solutions
D infinitely many solutions
Answers
if you substitute the equations into each other the x's and y's will cancel each other out and you will be left with 9=-6 which isn't true
Final answer:
the correct answer is option A: no solutions.The system of equations has no solutions.
Explanation:
To determine the number of solutions in a system of equations, we need to look at the slopes and y-intercepts of the two equations.
Let's rearrange the equations to the form y = mx + b, where m is the slope and b is the y-intercept.
For the first equation, we have y = (2/3)x + 2. For the second equation, we have y = (2/3)x - 3. Since the slopes of the two equations are the same, but the y-intercepts are different, the system has no solutions.
Therefore, the correct answer is option A: no solutions.
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Related Questions
3(q - 7) = 27 Solve for q
NEED URGENT HELP IMMEDIATELY!!!!!!!!! WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!!!!find the value of (a-b)(x-3)≤3x-7 if: a) a-b-3>0 b) a-b-3<0 c) a-b-3=0
Using the associative property of multiplication, which expression is equivalent to 4(7x)?A. 7(4x)B. 28xC. (4.7)xD. 4(7+x)
The volume of a prism is 230 mm3. Which statements are true about the same prism measured in cubic centimeters?Choose all answers that are correct.A.The number representing the volume would decrease.B.The number representing the volume would increase.C.The actual volume would decrease.D.The actual volume would increase.E.The actual volume would stay the same.
Answers
Until we know what it is, let's call the number ' M ', for 'Mystery number'.
The number . . . . M
The triple of the number . . . 3M
One third of the number . . . . M/3
48 added to one third of the number. . . . M/3 + 48 .
You said that 48 added to one third of the number makes triple the number,
so I can write
M/3 + 48 = 3M
and the rest is easy.
Multiply each side by 3 : M + 144 = 9M
Subtract M from each side: 144 = 8M
Divide each side by 8 : 18 = M
Check:
Is M/3 + 48 equal to 3M ?
(18/3) + 48 ? = ? 3(18)
6 + 48 ? = ? 54
54 = 54
yay !
What is the value of 12?
Answers
Answer:
1
Step-by-step explanation:
[remember: any number raised to the power of 0 is 1]
∴ 12^0 = 1
hope it helps you!!
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(2, 5)
(5, 2)
(2, 3)
(3, 2)
Answers
x + y = 5
y = one halfx + 2
y = 1/2 x + 2
-1/2 x + y = 2
Eliminate y by subtracting the two equations.
x + y = 5
-1/2 x + y = 2
----------------------
3/2 x = 3
3x = 6
x = 2
x + y = 5
2 + y = 5
y = 5-2
y = 3
So, the answer is (2,3).
Answer:
I am positive the answer is C: (2, 3)
Step-by-step explanation:
Answers
change them to equations
121 -
-
- n = -855
n = 855
check:
121 -
121 - 285 = -164
-164 = -164
Answers
Answer:
[A] -0.5
General Formulas and Concepts:
Algebra I
- Reading a coordinate plane
- Coordinates (x, y)
- Functions
- Function Notation
Algebra II
- Piecewise Functions
Calculus
Limits
Graphical Limits
Discontinuities
- Removable (Hole)
- Jump
- Infinite (Asymptote)
Step-by-step explanation:
Step 1: Define
Identify
Step 2: Solve
According to the graph, we see that when we approach x = -0.5 of the function f(x), we land on y = -0.5.
The function value at x = 2 would equal 8, but the limit as x approaches -0.5 would not approach the function value, but approach the hole in the function.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
−9x4 + 2x3 − 9x2
20x4 − 24x3 + 20x2
−20x4 + 24x3 − 20x2
Answers
-4x^2 * (6x - 5x^2 - 5) = -4x^2 * 6x + 4x^2 * 5x^2 + 4x^2 * 5 = -24x^3 + 20x^4 + 20x^2 = 20x^4 - 24x^3 + 20x^2
The correct result would be 20x^4 - 24x^3 + 20x^2.
Answer:
It is C
Step-by-step explanation: