Maths-
General
Easy
Question

A system of three equations is graphed in the xy-plane above. How many solutions does the system have?
- None
- One
- Two
- Three
The correct answer is: One
○ The concept used in the question is the number of solutions of system equations.
○ The number of points at which the graphs of the equations meets are the solutions of the equations.
- Step-by-step explanation:
○ Given:
Graph of three equations.
○ Step 1:
○ From the graph, it can be seen that graphs of the three equations meet only at one point
∴ system of equations has one solution.
- Final Answer:
The correct option is,
Option B. one.
Related Questions to study
Maths-
2ax − 15 = 3(x + 5) + 5(x − 1)
In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
2ax − 15 = 3(x + 5) + 5(x − 1)
In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
Maths-SAT
Maths-
If
= 160, what is the value of x?
If
= 160, what is the value of x?
Maths-SAT
Maths-

The circle above has center O, the length of arc ADC is 5π, and x = 100. What is the length of arc ABC ?

The circle above has center O, the length of arc ADC is 5π, and x = 100. What is the length of arc ABC ?
Maths-SAT
Maths-
C = 75h + 125
The equation above gives the amount C, in dollars, an electrician charges for a job that takes h hours. Ms. Sanchez and Mr. Roland each hired this electrician. The electrician worked 2 hours longer on Ms. Sanchez’s job than on Mr. Roland’s job. How much more did the electrician charge Ms. Sanchez than Mr. Roland?
C = 75h + 125
The equation above gives the amount C, in dollars, an electrician charges for a job that takes h hours. Ms. Sanchez and Mr. Roland each hired this electrician. The electrician worked 2 hours longer on Ms. Sanchez’s job than on Mr. Roland’s job. How much more did the electrician charge Ms. Sanchez than Mr. Roland?
Maths-SAT
Maths-
The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster cars s seconds after it starts up the hill?
The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster cars s seconds after it starts up the hill?
Maths-SAT
Maths-
Which of the following statements is true about the graph of the equation 2y − 3x = −4 in the xy-plane?
Which of the following statements is true about the graph of the equation 2y − 3x = −4 in the xy-plane?
Maths-SAT
Maths-
Which of the following is equivalent to 2(x2 − x) + 3(x2 − x)?
Which of the following is equivalent to 2(x2 − x) + 3(x2 − x)?
Maths-SAT
Maths-
(1 - x) (1 + x + x2 + x3 + x4 + x5 + x6)
The given expression is equivalent to 1 - xn, where n is a constant. What is the value of n?
(1 - x) (1 + x + x2 + x3 + x4 + x5 + x6)
The given expression is equivalent to 1 - xn, where n is a constant. What is the value of n?
Maths-SAT
Maths-
2x2- 6x + 3 = 0
The solutions to the equation above can be expressed in the form
, where n is positive integer. What is the value of n?
2x2- 6x + 3 = 0
The solutions to the equation above can be expressed in the form
, where n is positive integer. What is the value of n?
Maths-SAT
Maths-
9x + 9y = 18
6x + 4y = 12
The solution to the given system of equations is (x, y). What is the value of x?
9x + 9y = 18
6x + 4y = 12
The solution to the given system of equations is (x, y). What is the value of x?
Maths-SAT
Maths-
What is the solution to the equation 6(x + 3) - 5 = 37?
What is the solution to the equation 6(x + 3) - 5 = 37?
Maths-SAT
Maths-
If r > 0 and
, what is the value of r ?
If r > 0 and
, what is the value of r ?
Maths-SAT
Maths-
The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is 1 atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level?
The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is 1 atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level?
Maths-SAT
Maths-

The points on the scatterplot show the Index of Consumer Sentiment values for US consumers each year from 2008 to 2016. A line of best fit for the data is also shown. For 2015, which of the following is closest to the difference between the actual Index of Consumer Sentiment value and the value predicted by the line of best fit?

The points on the scatterplot show the Index of Consumer Sentiment values for US consumers each year from 2008 to 2016. A line of best fit for the data is also shown. For 2015, which of the following is closest to the difference between the actual Index of Consumer Sentiment value and the value predicted by the line of best fit?
Maths-SAT
Maths-

The graph shows the relationship between the length t, in feet, of a patterned fabric and the length s, in feet, of a solid fabric that Josh can buy from a craft store for a total of $18.00. The relationship can be modeled by the equation at+ bs = 18, where a and b are constants. What is the value of
?

The graph shows the relationship between the length t, in feet, of a patterned fabric and the length s, in feet, of a solid fabric that Josh can buy from a craft store for a total of $18.00. The relationship can be modeled by the equation at+ bs = 18, where a and b are constants. What is the value of
?
Maths-SAT