solving systems of equations in two variables
solving systems of equations in two variables
Estimate the solution of the system of equations shown in the graph below?
o (1, 0) and (-3, 0)
o (0, -3) and (0, -1)
o (-1, -2)
o (-2, -1)
If a system of equations has exactly one solution, it is ____________________?
o consistent and independent
o inconsistent and independent
o inconsistent and dependent
o consistent and dependent
Which of the following graphs best represents a system of equations that has no solution?
o 
o 
o 
o 
A student uses the substitution method to solve the system of equations below algebraically.
2x – y = 5
3x + 2y = -3
Which equation could be used?
o 3x + 2(2x – 5) = -3
o 3x + 2(5 – 2x) = -3
o 3(y + 5/2) + 2y = -3
o 3(5/2 – y) + 2y = -3
Which linear system has been correctly solved for one of the variables from the following system?
2x – y = -1
2x + y = -7
o 2x – y = -1
y = 2x – 7
o 2x – y = -1
y= -2x +7
o y = 2x + 1
2x + y = -7
o y = -2x + 7
2x + y = -7
Which linear system has the solution (6, 6)?
o 3 x + y = 4
4 x – 3 y = 1
o 4 x + 3 y = 0
2 x – y = 0
o 4 x – 3 y = -1
-2 x + y = -3
o x + y = 12
3x – 2y = 6
A student is using the elimination method to solve the system of equations below. What is the best first step?
3x – y = 5
2x + 3y = 10
o Multiply the first equation by 2.
o Multiply the second equation by 3.
o Multiply the first equation by 3.
o Multiply the second equation by 2.
In which line is a mistake first made when solving the following system of equations by elimination for s?
2r + 7s = 11
r – 9s = -7
| Line 1 | 2r + 7s = 11 2(r – 9s = -7) |
| Line 2 | 2r + 7s = 11 2r – 18s = -14 |
| Line 3 | -11s = -3 |
| Line 4 | s = 11/3 |
o Line 1
o Line 2
o Line 3
o Line 4
Find the solution to the system of equations.
4c = 3d + 3
c = d – 1
o c = 6, d = 7
o c = 3, d = 4
o c = 8, d = 7
o c = 5, d = 4
What is the solution to the system of equations.
2x – 3y = -9
-x + 3y = 6
o (3, 3)
o (-3, 1)
o (-3, 3)
o (1, -3)
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