Podcast
Questions and Answers
The y-coordinate of the solution to the system $2x + 3y = 9$ and $-2x + 2y = 6$ is _____.
The y-coordinate of the solution to the system $2x + 3y = 9$ and $-2x + 2y = 6$ is _____.
3
The y-coordinate of the solution to the system $5x + y = 6$ and $5x + 3y = -4$ is _____.
The y-coordinate of the solution to the system $5x + y = 6$ and $5x + 3y = -4$ is _____.
-5
The x-coordinate of the solution to the system $x - y = 4$ and $x + y = 8$ is _____.
The x-coordinate of the solution to the system $x - y = 4$ and $x + y = 8$ is _____.
2
The solution to the system $x + y = k$ and $x - y = k$ is _____.
The solution to the system $x + y = k$ and $x - y = k$ is _____.
The x-coordinate of the solution to the system $2x + y = -2$ and $x + y = 5$ is _____.
The x-coordinate of the solution to the system $2x + y = -2$ and $x + y = 5$ is _____.
When the second equation is subtracted from the first in the system $3x - 4y = 7$ and $3x + 2y = -5$, the resulting equation is _____.
When the second equation is subtracted from the first in the system $3x - 4y = 7$ and $3x + 2y = -5$, the resulting equation is _____.
Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system $2x + 3y = 6$ and $5x + 2y = 4$?
Which of the following equations could be the result of multiplication and addition to eliminate a variable in the system $2x + 3y = 6$ and $5x + 2y = 4$?
The system $3x - 4y = 6$ and $6x - 8y = 10$ has _____ solution(s).
The system $3x - 4y = 6$ and $6x - 8y = 10$ has _____ solution(s).
The point of intersection of the lines $3x + 5y = 78$ and $2x - y = 0$ has an x-coordinate of _____.
The point of intersection of the lines $3x + 5y = 78$ and $2x - y = 0$ has an x-coordinate of _____.
The solution to the system of equations $7x - 3y = 4$ and $2x - 4y = 1$ is _____.
The solution to the system of equations $7x - 3y = 4$ and $2x - 4y = 1$ is _____.
The point of intersection of the lines $x + 5y = -2$ and $2x + y = 5$ has a y-coordinate of _____.
The point of intersection of the lines $x + 5y = -2$ and $2x + y = 5$ has a y-coordinate of _____.
Which of the following system of equations is not equal to the system of equations $7x - 3y = 4$ and $2x - 4y = 1$?
Which of the following system of equations is not equal to the system of equations $7x - 3y = 4$ and $2x - 4y = 1$?
What value of b will give the solution of the system below an x-coordinate of 3?
What value of b will give the solution of the system below an x-coordinate of 3?
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Study Notes
Algebra (Addition Method)
- The system of equations 2x + 3y = 9 and -2x + 2y = 6 gives a y-coordinate solution of 3.
- For the equations 5x + y = 6 and 5x + 3y = -4, the y-coordinate solution is -5.
- The solution for x - y = 4 and x + y = 8 yields an x-coordinate of 2.
- The equations x + y = k and x - y = k produce a solution of (k, 0).
- The x-coordinate for the system represented by 2x + y = -2 and x + y = 5 is -7.
- Subtracting the second equation 3x + 2y = -5 from the first 3x - 4y = 7 results in -6y = -12.
- In the equations 2x + 3y = 6 and 5x + 2y = 4, a possible elimination result could be 19y = 22.
- The system 3x - 4y = 6 and 6x - 8y = 10 has no solutions, indicating parallel lines.
- In the equations 3x + 5y = 78 and 2x - y = 0, the point of intersection has an x-coordinate of 6.
- The solution to the equations 7x - 3y = 4 and 2x - 4y = 1 results in the coordinates (13/22, 1/22).
- For the line system x + 5y = -2 and 2x + y = 5, the y-coordinate of the intersection is -1.
- The equations 7x - 3y = 4 and 2x - 4y = 1 do not equate to the system represented by 28x - 12y = 16 and -6x + 12y = -3.
- To achieve an x-coordinate of 3 in an unknown system, the value of b must be 7.
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