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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$\dfrac{0-y}{-2-0}=\dfrac{10-2}{3-1}$

$\dfrac{-y}{-2}=\dfrac{8}{2}$

$\dfrac{y}{2}=4$

Multiply both sides by 2.

$\dfrac{y}{2}\times 2=4\times 2$

$y=8$

Therefore, the required value of y is 8.