Question

Solve graphically: x = 5, x +2y = 1

Answer 1

Answer:

(5,-2)

Step-by-step explanation:

put x=5 in the second equation ,

so we get

y=-2

Answer 2

To solve the equations $\mathsf{x=5}$ and $\mathsf{x+2y=1}$ graphically:

Let us plot the given lines on graph paper.

$\mathsf{x=5}$ is parallel to the y-axis and intersects x-axis at $\mathsf{(5,0)}$

For the equation $\mathsf{x+2y=1}$, we find two sets of coordinates,

1. when $\mathsf{y=0,x=1}$; so the point is $\mathsf{(1,0)}$
2. when $\mathsf{y=1,x=-1}$; so the point is $\mathsf{(-1,1)}$

We plot the points $\mathsf{(1,0)}$ and $\mathsf{(-1,1)}$ on graph paper and join them.

Refer to the given attachment.

We can see that the two lines intersect each other at the point $\mathsf{(5,-2)}$.

Answer:

Therefore the required solution is

$\quad\quad\boxed{\mathsf{x=5,y=-2}}$