Question

What is the classification of each system? Drag the answers into the boxes to match each system. {4x−2y=102x−y=5 {y=2x−3−2x y=−5 {2x−5y=143x 4y=10.

Answer 1

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.

$\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2} \ \ \ \ \ \ \ \ \ \ \ Lines\ are\ intersecting\\\\\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}\ \ \ \ Lines \ are\ parallel\\\\\rm \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} = \dfrac{c_1}{c_2} \ \ \ \ Lines\ are\ coincident$

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.

brainly.com/question/20379472