Solve by graphing. 2x +y=1
x – 2y = 8
The solution to this system of equations is:
x-coordinate:
y-coordinate:

Given:

The given system of equations is:

To find:

The solution to this system of equations by graphing.

Solution:

We have,

The table of values for first equation is:

x       y

0      1

1      -1

Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.

The table of values for second equation is:

x       y

0      -4

2      -3

Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.

The graphs of given equations are shown in the below figure.

From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).

Therefore, the solution to this system of equations is:

x-coordinate: 2

y-coordinate: -3

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ratio is 2 : 9

the answer is three

13.5 : 3