A system of equations is shown below:y = 5x + 3
y = 4x + 6
What is the solution to the system of equations?
(−3, 18)
(−3, −18)
(3, −18)
(3, 18)
Answers
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The solution of the system of equation y = 5x + 3 and y = 4x + 6 is (3,18).
What is a System of equations?
Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of the system of equations can be done as shown below, therefore,
Equation 1: y = 5x + 3
Equation 2: y = 4x + 6
Substitute the value of y from the first equation in the second equation, therefore,
y = 4x + 6
5x + 3 = 4x + 6
5x - 4x = 6 - 3
x = 3
Substitute the value of x in any one of the equation,
y = 5(3) + 3
y = 15 + 3
y = 18
Hence, the solution of the system of equation y = 5x + 3 and y = 4x + 6 is (3,18).
Learn more about System of equation:
#SPJ2
y=5x+3
y= 4x+6
Let's solve y=5x+3 for y
Substitute 5x+3 for y in y=4x+6
y=4x+6
5x+3=4x+6
Add -4x
5x+3-4x=4x+6-4x
x+3=6
Add -3
x+3-3=6-3
x=3
Now substitute 3 for x in y=5x+3
y=5x+3
y= (5)(3)+3
y= 15+3
y= 18
Answer D
(3,18)
I hope that's help:)
Related Questions
How many solutions does the nonlinear system of equations graphed below have? A. Zero B. One C. Two D. Four
Angle x + 16 and Angle 4x - 5. They are vertical angles. Solve for x and the measure of the two angles.
Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7
Find the least common multiple of 7 3 2
What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student: 80 60 80 70 100 390
Female student: 200 150 20 70 50 490
Column totals: 280 210 100 140 150 880
Pop Classical Rap Jazz Rock Row totals
80 60 80 70 100 390 (Male student)
200 150 20 70 50 490 (Female student)
280 210 100 140 150 880 (Column totals)
Which of the following are possible positive associations or observations? (1 point)
1. Rock music is the most popular music for each category of students.
2. The largest difference in conditional relative frequency between males and females is for pop music.
3. The smallest difference in conditional relative frequency between males and females is for jazz music.
4. Male and female students have the same conditional relative frequency for rap music.
Answers
Answer:
The answer is 2.
The largest difference in conditional relative frequency between males and females is is for pop music.
Step-by-step explanation:
males females difference
Pop 80 200 120 ←this shows that pop has the
Classical 60 90 90 greatest difference
Rap 80 20 60
Jazz 70 70 0
Rock 100 50 50
Total 390 490 100
Answer:
it is number 3 The smallest difference in conditional relative frequency between males and females is for jazz music.
Step-by-step explanation:
(write and solve inequality)
Answers
Answer:
The largest possible width is 15 feet.
Step-by-step explanation:
b) Round 5.592 to the nearest hundredth
c) Round 0.010229 to four significant figure
d) How many significant figures does the following number have: 0.002040
Answers
Answer:
a) 23.5
b) 5.59
c) 0.01023
d) 4
Answers
Answers
The solution is, 0.08 which is 0.4% of 20.
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
to find the number which is 0.4% of 20.
so, we get,
let, the number be x
now, 20* 0.4% = x
or, 20/100= x/0.4
then cross multiply 20/250=x
x = 0.08
which 0.08
Hence, the answer is 0.08
To learn more on percentage click:
#SPJ2
Answers
Answer:
Option C. (4x² -3x + 9)
Step-by-step explanation:
Arranging a polynomial in descending order means to arrange the powers of variables of each term in the descending order.
So in the given options only Option C. is in the descending order.
4x² - 3x + 9
This polynomial has the variable x² with maximum degree of 2 at the starting.
Then second variable 3x with degree of 1 and then constant term 9.
Option C. is the correct option.