This week in math class, us students dived into the study of systems of equations. A system often refers to a set of equations that share common variables. One common type is a system of linear equations, where the goal is to find values for the variables that satisfy all the equations simultaneously. These systems are utilized to model and solve real-world problems across various disciplines, or to find coordinate point pairs on a graph.

For Example:

There are different methods to solve a system but here we will use the elimination method.

lets find “X” first, to do that lets multiply to the LCM of “Y” and multiply everything on the top by 4 and everything on the bottom by 7

=8x + 28y = 136

=35x – 28y = -7

Eliminate “Y” by adding

= 43x =129

Divide both sides by 3

x=3

Now lets find “Y”, so lets plug in the x value into the first equation and solve

2 x 3 + 7y = 34

= 6 + 7y = 34

lets isolate “Y” by moving the 6 to the other side and adding

7y = 28

divide both sides

y=4

= (3 , 4)

That’s what we learned this week in math.