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Sagot :
1. 4x − 2y = 10 and 2x − y = 5
Lines are coincident.
2. y = 2x − 3 and −2x + y = −5
Lines are parallel.
3. 2x − 5y = 14 and 3x + 4y = 10
Lines are intersecting.
Linear system
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
1. 4x − 2y = 10 and 2x − y = 5
2. y = 2x − 3 and −2x + y = −5
3. 2x − 5y = 14 and 3x + 4y = 10
Condition for the lines.
[tex]\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2} \ \ \ \ \ \ \ \ \ \ \ Lines\ are\ intersecting\\\\\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}\ \ \ \ Lines \ are\ parallel\\\\\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} = \dfrac{c_1}{c_2} \ \ \ \ Lines\ are\ coincident[/tex]
Drag the answers into the boxes to match each system.
1. 4x − 2y = 10 and 2x − y = 5
Lines are coincident.
2. y = 2x − 3 and −2x + y = −5
Lines are parallel.
3. 2x − 5y = 14 and 3x + 4y = 10
Lines are intersecting.
More about the linear system link is given below.
https://brainly.com/question/20379472
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