By the linear combination method, we will see that the solutions are:
y = 3.4, x = 3.95
How to solve a system of equations by linear combination?
This method suggests that we make a linear combination of the equations in such a way that one of the variables is removed.
Here the system is:
-2.1x+ 4y = 5.3
2.1x - 5.5y = -0.2
You can see that if we directly add the equations, the variable x will vanish, then we do that:
(-2.1x+ 4y ) + (2.1x - 5.5y ) = 5.3 + (-0.2)
-1.5y = 5.1
y = 5.1/(-1.5) = 3.4
Now that we have the value of y, we can find the value of x by solving one of the equations, I will solve the first one.
-2.1x + 4y = 5.3
-2.1x + 43.4 = 5.3
-2.1x = 5.3 - 4*3.4 = -8.3
x = (-8.3)/(-2.1) = 3.95
If you want to learn more about systems of equations:
https://brainly.com/question/18873124
