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Systems of Linear Equations and Inequalities in Two Variables 2
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Result
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Choose the correct answer to each question.

1. Which of the following is a solution to the system of equations given below?
{       y=3 x+y=1
(−2, 3)
(0, 3)
(1, 3)
(3, 3)
Answer: (−2, 3)
2. If the graph of a system of linear equations consists of two lines that intersect at exactly one point, which describes such system?
dependent
inconsistent
consistent and dependent
consistent and independent
Answer: consistent and independent
3. If you solve for y in terms of x in equation (a) of the system below, what equation will you get?
{ 2x+3y=5      (a) 4x−5y=10    (b)
y=5−2x
y= 5 3 x−2
y= −2 3 x+ 5 3
y= 5+2x 3
Answer: y = − 2 3 x + 5 3
4. How do you represent the graph of the system in the previous item?
the same line
two horizontal lines
two distinct parallel lines
two lines intersecting at exactly one point
Answer: two lines intersecting at exactly one point
5. If the sum of two numbers is 10 and their difference is 6, what is one of the numbers?
4
5
6
8
Answer: 8
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