Question

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8x−4y=16 and 8x+4y=16 ​solved with Systems of equations with graphing

Answer 1

The solution is (2, 0)

Explanation:

To solve the system of equations, simply add the two equations together to get the y values to cancel.

8x - 4y = 16

8x + 4y = 16

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16x = 32

x = 2

Now that we have the value of x, we simply put it into the equation to get the y value.

8x - 4y = 16

8(2) - 4y = 16

16 - 4y = 16

-4y = 0

y = 0

Answer 2

Explanation:

The graphical method consists of representing the graphs associated with the system equations to deduce their solution. The solution of the system is the point of intersection between the graphs.

The equation of a line has the form: y=mx+b

Where m and n are number and "x" and "y" are two unknowns.

In this case, you can see that each of the equations that make up a system corresponds to the equation of a line, so we can represent each of them on the Cartesian axes and the cut point of both lines will correspond to the solution of the system of equations.

The steps to solve a system of equations by the graphical method are the following:

• Clear the unknown "y" in each of the equations.
• Represent each of the lines on the coordinate axes.
• To represent a line, you need two points on it. To obtain them, you choose two values ​​of x at random and, replacing in the equation of the line, you obtain their corresponding value of «y».
• The coordinates of the cut point of both lines will be the solution of the system of equations.

So, in this case, we obtain the graph that can be seen in the attached image. In this way, the cut point between both lines is observed to be (x, y) = (2,0). So, the solution to the system of equations is x = 2 and y = 0