Which is true regarding the system of equations?
6 x + 2 y = 46. 3 x + y = 23.
The system results in a false statement.
The system results in an intersection at one point.
The system results in parallel lines.
The system results in a true statement because they are the same line.
The system results in an intersection at one point.
Theo solved the following problem correctly for homework.
2 x + y = 7. Negative 3 x + y = 2.
What is the y-coordinate of his solution?
y = negative 3
y = negative 1
y = 1
y = 5
y = 1
Which is true regarding the system of equations?
x minus 4 y = 1. 5 x minus 20 y = 4.
The system results in a false statement.
The system results in an intersection at one point.
The system results in many solutions because they are the same line.
The system results in a true statement.
The system results in an intersection at one point.
What is the first step in solving the following system of equations?
3 x + y = 23. 8 x + 2 y = 23.
Substitute the value of y from one equation into the other equation.
Solve the first equation for y.
Subtract the second equation from the first equation.
Substitute the value of x from one equation into the other equation.
Solve the first equation for y.
Jerome bought 15 videos from a department store. Some videos were new releases, x, which cost $19, and some videos were classics, y, which cost $8. He spent a total of $164 on the videos. Which system of equations is set up correctly to model this information?
A(x + y = 15. 19 x + 8 y = 164.
B(x + y = 15. 8 x + 19 y = 164.
C(x + y = 164. 19 x + 8 y = 15.
D(x + y = 15. 19 x minus 8 y = 164.
B(x + y = 15. 8 x + 19 y = 164.
Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner.
6 x + 3 y = 27. 5 x + 2 y = 21.
Which variable should he choose so that he can use substitution to solve the system?
A(Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
B(Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.
C(Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.
D(Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to eliminate the coefficient for x.