Question

Solve each system by graphing

Answer 1

(4,2) is the point where two lines meet

Explanation:

A system of linear equations consists of two or more linear equations that can be solved by various methods. To solve the equations graphically, we can plot them on same graphical plane. The answer will be the point where the lines meet. This is the point which is a solution to all lines that pass through this point.

To solve a linear equation and plot them on plane, we can randomly take a value of x and by substituting the value of x into equation, the value of y can be obtained.

For example:

`x- 4*y =(-4)`

let x = 0,

`0- 4*y =(-4)`

`- 4*y =(-4)`

`y =(-4)/(-4)`

`y =1`

We can find several points for the same line and plot on graph.

x 0 1 2 3

y 1 5/4 3/2 7/4

Then we join all the points to form a line.

Similarly, we do for
`5*x- 4*y =12`.

x 0 1 2

y -3 -7/4 -1/2

The point of intersection, as a result will be (4,2) which can be seen in the figure clearly.