For each system of equations, drag the true statement about its solution set to the box under the system.

One Solution:
The graphs of these lines would intersect at a point.

Infinitely Many Solutions:
2x + 5 is a multiple of x + 5.

Zero Solutions:
y is equal to two different expressions.

Zero Solutions:
2x + 5 = x + 5 has no solutions.

Infinitely Many Solutions:
Both the right and left sides of the equations are equivalent expressions.

Question

For each system of equations, drag the true statement about its solution set to the box under the system.

One Solution:
The graphs of these lines would intersect at a point.

Infinitely Many Solutions:
2x + 5 is a multiple of x + 5.

Zero Solutions:
y is equal to two different expressions.

Zero Solutions:
2x + 5 = x + 5 has no solutions.

Infinitely Many Solutions:
Both the right and left sides of the equations are equivalent expressions.

Quizzma Team · Answer

Sure! Let’s break down the statements related to the different types of solutions for systems of equations:

1. One Solution:

– True Statement: The graphs of these lines would intersect at a point.

– Explanation: This means the two lines have different slopes and meet at exactly one point.

2. Infinitely Many Solutions:

– True Statement: Both the right and left sides of the equations are equivalent expressions.

– Explanation: This indicates that the equations represent the same line, leading to an infinite number of points of intersection.

3. Zero Solutions:

– True Statement: 2x + 5 = x + 5 has no solutions.

– Explanation: This can be simplified to an equation that results in a contradiction, implying that there is no point where both equations intersect.

Choose the correct statements based on these explanations. If you want to explore more about this topic, feel free to check the extended services page!

1 Answer