Consider the following system of equations.Y=3x-7
Y-3x=5
What can you conclude about the system of equations?
The system if equations is inconsistent.
The system of equations is dependent.
The system of equations is independent.
None of these.
Answers
Before we answer, let’s solve the given equation:
=> y – 3x = -7
=> y – 3x = 5
=> Subtract both equation. Cross out y – 3x, thus the remaining would be
=> -7 and 5; in where -7 is not equals to 5
Thus the system of equations is inconsistent because an inconsistent system has no solution.
And there is no solution found of the given equations.
Related Questions
What is the solution set of negative X equals -8
Matthew had the following times in two races:3.032 minutes and 3.023 minutes .Use >,<,or = to make the sentence true
9) There are six girls and 12 boys in Ms. Jeffry's environmental club. She wants to divide the students into groupS with the same number of boys and the same number of girls in each group. What is the maximum number of groups she can make? *
George used the diagram below to help determine 30% of 60. Which expression could George have used?
Answers
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that 120% of a number is 43.
Let the number be x.
Multiply both sides by 10.
Divide both sides by 12.
The required number is 35.83. Therefore the correct option is 4.
Answers
s = ?
To solve for s use the inverse operation of addition, which is subtraction.
s + 2.8 = 6.59
6.59 - 2.8 = s
6.59 - 2.8 = 3.79
s = 3.79
Check:
s + 2.8 = 6.59
s = 3.79
3.79 + 2.8 = ?
3.79 + 2.8 = 6.59
Correct!
This proves: s = 3.79 ;)
s + 2.8 = 6.59
- 2.8 -2.80 ( 2.8 is the same as 2.80 )
s = 3.79
Double check by plugging in the variable.
s + 2.8 = 6.59
3.79 + 2.8 = 6.59
6.59 = 6.59
Yes, it's correct!
Hope I helped!
Answers
A(x) = 300 - 20m
A(x) = 15m
A(x) = 300 + 20m
Answers
Final answer:
The equation modelling Sonya's savings is A(m) = 300 + 20m, where A is the total saved, 300 is the initial amount saved, 20 is the amount saved monthly, and m is the number of months.
Explanation:
The correct model for this question is A(m) = 300 + 20m. This is because Sonya initially has $300 in her savings account, represented by the 300 in the equation, and each month she saves an additional $20, represented by the 20m in the equation. The variable m in the equation represents the number of months Sonya has been saving money. So each time m increases by 1 (meaning one month passes), the total amount of money, A, increases by $20. So if m represents 3 months, Sonya has $300 + $20*3 = $360 in her account.
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Answers
Step-by-step explanation:
I suppose you are looking for the value of 'k'
if 3/2 is a zero, then putting in ' 3/2' for x will make the equation = 0
2 (3/2)^2 + 3/2 k -12 = 0 solve for 'k'
18/4 + 3/2 k = 12
3/2 k = (12 - 18/4)
k = (12- 18/4) / (3/2) = 5
Answers
The equivalent value of the expression (1/2 x 15) is 7.5.
What is algebraic expression?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is to solve the expression as -
1/2 x 15
We can write the expression as -
{x} = 1/2 x 15
{x} = 15/2
{x} = 7.5 x 2/2
{x} = 7.5
Therefore, the equivalent value of the expression (1/2 x 15) is 7.5.
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Answer:
7.5
Step-by-step explanation:
it's basically just 15 divided by 2