Question

draw the graph of equation 5 x minus Y is equal to 5 and 3 x minus Y is equal to 3 determine the co-ordinate of the vertices of Triangle formed by these lines and y axis

Answer 1

$\textit{ \textbf{ Hello Mate! }}$

In equation 5x - y = 5

Keep once, x = 0 and y = 0

5(0) - y = 5

y = - 5

5x - (0) = 5

x = 1

$\textsf{ Coordinates : (0,-5) ; (1,0) }$

In equation 3x - y = 3

Keep x once = 0, y = 0

3(0) - y = 3

y = - 3

3x - (0) = 3

x = 1

$\textsf{ Coordinates : (0,-3) ; (1,0) }$

$\texttt{ Have great future ahead! }$

Answer 2

Answer:

The vertices of triangle are (0,-5), (0,-3) and (1,0).

Step-by-step explanation:

The given equations of lines are

$5x-y=5$         .... (1)

$3x-y=3$          ..... (2)

We have to find the co-ordinate of the vertices of triangle formed by these lines and y axis.

Put x=0, in the given equations to find the y-intercept.

$5(0)-y=5\Rightarrow y=-5$

The y-intercept of first line is (0,-5).

$3(0)-y=3\Rightarrow y=-3$

The y-intercept of second line is (0,-3).

Subtract equation (2) from equation (1), to find the intersection point of both equations.

$5x-y-(3x-y)=5-3$

$5x-y-3x+y=2$

$2x=2$

$x=1$

Substitute x=1 in equation (1).

$5(1)-y=5$

$y=5-5$

$y=0$

The intersection point of both lines is (1,0).

Therefore the vertices of triangle are (0,-5), (0,-3) and (1,0).