Question

PLEASEEEE HELP QUICKKKK

Answer 1

Given:

Line A goes through (0,y) and (-2,0).

Line B goes through (1,2) and (3,10).

To find:

The value of y for which the system of given linear equation (equation of line A and line B) has no solutions.

Solution:

Two linear equation has no solutions if they are parallel line.

Slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

We know that the slopes of two parallel lines are the same.

So, the given system of given linear equation has no solutions if

Slope of line A = Slope of line B

`(0-y)/(-2-0)=(10-2)/(3-1)`

`(-y)/(-2)=(8)/(2)`

`(y)/(2)=4`

Multiply both sides by 2.

`(y)/(2)* 2=4* 2`

`y=8`

Therefore, the required value of y is 8.