Question

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14?
(negative 5, 1)
(1, negative 5)
(5, negative 1)
(Negative 1, 5)
Answer
Consider the system of linear equations 2x + 3y = 8 and 3x + y = –2. Which statement is correct?
The point (1, 2) is not a solution to the system of equations because it satisfies neither equation.
The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
The point (1, 2) is a solution to the system of equations because it satisfies the equation 2x + 3y = 8.
The point (1, 2) is a solution to the system of equations because it satisfies both equations.
Answer
Which statement is correct about the system of linear equations graphed below?

On a coordinate plane, 2 lines are parallel to each other.
The system of equations has one solution because the lines will eventually intersect.
The system of equations has one solution because the lines will never intersect.
The system of equations does not have one solution because the lines will eventually intersect.
The system of equations does not have one solution because the lines will never intersect.
Answer
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.
Answer
The system of linear equations Negative 2 x + y = 8 and Negative 3 x minus y = 7 is graphed below.

On a coordinate plane, 2 lines intersect at (negative 3, 2).

What is the solution to the system of equations?
(–3, 2)
(–2, 3)
(2, –3)
(3, 2)
Answer
What is the solution to the system of linear equations graphed below?

On a coordinate plane, 2 lines intersect at (negative 2.5, negative 2).
(0, 3)
(0, negative 2)
(negative 2, negative 2 and one-half)
(Negative 2 and one-half, negative 2)
Answer
Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 EndFraction and Two-fifths x + one-sixth y = StartFraction 3 Over 10 EndFraction?
(one-fifth, negative two-thirds)
(one-fifth, two-thirds)
(two-thirds, negative one-fifth)
(two-thirds, one-fifth)
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(1, -5)
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The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
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The system of equations does not have one solution because the lines will never intersect.
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They intersect at one point.
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(–3, 2)
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(negative 2, negative 2 and one-half)
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(two-thirds, negative one-fifth)