9
QuizMultiple Choice

Solving Systems of Linear Equations: Linear Combinations — Quiz

Question 9 • Algebra I

Which statement describes the graph of the given system of equations? 1 point 5 x plus 0 point 2 y is equal to 2 point 68 1 point 6 plus 0 point 3 y is equal to 2 point 98

Answer
A
The lines intersect at 1 point 6 comma 1 point 4 .
B
The lines intersect at 3 point 1 comma 0 point 5 .
C
The lines are parallel.
D
The lines overlap at all points.

Explanation

Substitute x = 1.6 and y = 1.4 into both equations. For the first, 1.5(1.6) + 0.2(1.4) = 2.4 + 0.28 = 2.68; for the second, 1.6(1.6) + 0.3(1.4) = 2.56 + 0.42 = 2.98. So both lines pass through (1.6, 1.4), meaning they intersect there.

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