Maths-
SAT
Easy
Question
2x-y=3
4x-y=3
How many solutions does the system of equations have?
- Zero
- Exactly one
- Exactly two
- Infinitely many
The correct answer is: Exactly one
2x – y = 3
4x – y = 3
2x – y = 4x – y
2x = 0
x = 0
Substitute x = 0, we get y = 3.
The system has one and only one solution.
Substitute x = 0, we get y = 3.
The system has one and only one solution.
Related Questions to study
Maths-
y=(x+3)(x-7)
y=x-7
If (x, y) is a solution to the given system of equations, which of the following could be the value of x?
y=(x+3)(x-7)
y=x-7
If (x, y) is a solution to the given system of equations, which of the following could be the value of x?
Maths-SAT
Maths-
T(n)=80+n
S(n)=1,280+30n
The given equations model the number of teachers and students in a high school from 2002 through 2017. In the equations, n is the number of years after 2002, where n is a whole number less than or equal to 15. The predicted number of teachers and students are T(n) and S(n), respectively.
Based on the model, what is the first year in which the predicted number of teachers will be greater than 90?
T(n)=80+n
S(n)=1,280+30n
The given equations model the number of teachers and students in a high school from 2002 through 2017. In the equations, n is the number of years after 2002, where n is a whole number less than or equal to 15. The predicted number of teachers and students are T(n) and S(n), respectively.
Based on the model, what is the first year in which the predicted number of teachers will be greater than 90?
Maths-SAT
Maths-
If 3x = 8y and both x and y are positive, which of the following equals 40y?
If 3x = 8y and both x and y are positive, which of the following equals 40y?
Maths-SAT
Maths-
Markela opens a bank account that earns interest at a rate of 2% compounded annually. She puts $200 in the account when she opens it and does not make any more deposits into or withdrawals from the account for 2 years. If the amount of money in the account after 2 years is given by the expression 200(1.02)2, which of the following expressions gives the amount of money in the account after 1 year?
Markela opens a bank account that earns interest at a rate of 2% compounded annually. She puts $200 in the account when she opens it and does not make any more deposits into or withdrawals from the account for 2 years. If the amount of money in the account after 2 years is given by the expression 200(1.02)2, which of the following expressions gives the amount of money in the account after 1 year?
Maths-SAT
Maths-
2n= -22
What value of n satisfies the given equation?
2n= -22
What value of n satisfies the given equation?
Maths-SAT
Maths-
For the exponential function f, the table shows some values of x and the corresponding values of f(x). The function can be written in the form f(x)=prx, where p and r are constants. What is the value of r?
For the exponential function f, the table shows some values of x and the corresponding values of f(x). The function can be written in the form f(x)=prx, where p and r are constants. What is the value of r?
Maths-SAT
Maths-
In the figure, triangles ABC and DBE are right triangles. What is cos B?
In the figure, triangles ABC and DBE are right triangles. What is cos B?
Maths-SAT
Maths-
If 12x+6=4x+8, what is the value of x?
If 12x+6=4x+8, what is the value of x?
Maths-SAT
Maths-
Several values of x and their corresponding values of y are shown in the table. A linear equation that represents the relationship shown in the table x=k , where k is a constant. What is the value of k?
Several values of x and their corresponding values of y are shown in the table. A linear equation that represents the relationship shown in the table x=k , where k is a constant. What is the value of k?
Maths-SAT
Maths-
If n is a positive integer, which of the following is the equivalent to the expression above?
If n is a positive integer, which of the following is the equivalent to the expression above?
Maths-SAT
Maths-
How many solutions does the equation x(x-4)=(x-1)(x+1) have?
How many solutions does the equation x(x-4)=(x-1)(x+1) have?
Maths-SAT
Maths-
3x+8=kx+8
In the given equation, k is a constant. If the equation has exactly one solution, which of the following could NOT be the value of k?
3x+8=kx+8
In the given equation, k is a constant. If the equation has exactly one solution, which of the following could NOT be the value of k?
Maths-SAT
Maths-
A(t) = 50(2)t
The function A(t) models the number of liters of a fluid in a tank after t hours. Which of the following models the number of liters of the fluid in the tank after m minutes?
A(t) = 50(2)t
The function A(t) models the number of liters of a fluid in a tank after t hours. Which of the following models the number of liters of the fluid in the tank after m minutes?
Maths-SAT
Maths-
y=x+3
2x-y=0
Which of the following is the value of y in the solution (x,y) to the system of equations above?
y=x+3
2x-y=0
Which of the following is the value of y in the solution (x,y) to the system of equations above?
Maths-SAT
Maths-
In the right triangle ABC above, sin(x°) = 
. What is the value of cos(y°)?
In the right triangle ABC above, sin(x°) = . What is the value of cos(y°)?
Maths-SAT
