Question

Solve each system of equations by GRAPHING. Clearly identify your solution.(2x+y=1) (x-2y=18)

Answer 1

(x, y) = (4,-7)

Step-by-step explanation:

To solve the system we need to graph the line that each equation represents, then the solution will be the point where the lines cross.

So, to graph the line for the first equation 2x + y = 1, we need to identify two points in the line.

Then, if x = 0, y is equal to:

2x + y = 1

2(0) + y = 1

y = 1

And if x = 1, y is equal to:

2(1) + y = 1

2 + y = 1

2 + y - 2 = 1 - 2

y = -1

So, for the first equation, we have the points (0, 1) and (1, -1)

In the same way, for the second equation x - 2y = 18, we get:

If x = 0, y is equal to:

0 - 2y = 18

-2y = 18

y = 18/(-2)

y = -9

If x = 2, y is equal to:

2 - 2y = 18

2 - 2y - 2 = 18 - 2

-2y = 16

y = 16/(-2)

y = -8

So, for the second equation, we have the points (0, -9) and (2, -8)

Therefore, the graph of both lines is:

So, the solution of the system is the point (x, y) = (4, -7)