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solving systems of equations math homework help

Estimate the solution of the system of equations shown in the graph below?

(1, 0) and (-3, 0)

(0, -3) and (0, -1)

(-1, -2)

(-2, -1)

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If a system of equations has exactly one solution, it is ____________________?

consistent and independent

inconsistent and independent

inconsistent and dependent

consistent and dependent

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Which of the following graphs best represents a system of equations that has no solution?

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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?

3x + 2(2x – 5) = -3

3x + 2(5 – 2x) = -3

3(y + 5/2) + 2y = -3

3(5/2 – y) + 2y = -3

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Which linear system has been correctly solved for one of the variables from the following system?

2x – y = -1
2x + y = -7

2 x space minus space y space equals space minus 1 space
y space equals space 2 x space minus space 7

2 x space minus space y space equals space minus 1 space
y space equals space minus 2 x space plus space 7

y space equals space 2 x space plus space 1 space
2 x space plus space y space equals space minus 7

y space equals space minus 2 x space plus space 7 space
2 x space plus space y space equals space minus 7

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Which linear system has the solution (6, 6)?

3 x space plus space y space equals space 4
4 x space minus space 3 y space equals space 1

4 x space plus space 3 y space equals space 0
2 x space minus space y space equals space 0

4 x space minus space 3 y space equals space minus 1 space space
minus 2 x space plus space y space equals space minus 3

x space plus space y space equals space 12 space
3 x space minus space 2 y space equals space 6

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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

Multiply the first equation by 2.

Multiply the second equation by 3.

Multiply the first equation by 3.

Multiply the second equation by 2.

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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

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Find the solution to the system of equations.

4c = 3d + 3
c = d – 1

c = 6, d = 7

c = 3, d = 4

c = 8, d = 7

c = 5, d = 4

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What is the solution to the system of equations.

2x – 3y = -9
-x + 3y = 6

(3, 3)

(-3, 1)

(-3, 3)

(1, -3)

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