How to solve for x and y in 2 equations?
The first thing you need to do is write the two equations in the same form. This means that they both have the same number of variables, the same number of terms, and the same signs on their coefficients. This will make solving the system easier to understand. If you don’t know your way around algebraic equations, you can check out our guide to solving equations in a step-by-step manner.
How to solve for x and y in two equations
You can solve two linear equations (two equations with two variables) by solving each equation separately and then solving the resulting simultaneous equations. This is known as Gauss-Jordan elimination. This method is easiest when you have two equations with two variables and two variables that are the same. If you have two equations with two different variables, you can apply Gauss-Jordan elimination to each equation separately and then solve the resulting simultaneous equations.
How to solve simultaneous equations?
There are two ways to solve simultaneous equations: by factoring or by substitution. One way is to isolate the variables in each equation. For example, you can isolate x in the first equation to get an equation that only involves x: x - 10 = 12. Or you can isolate y in the second equation to get an equation that only involves y: -5y = 20. Now you have two equations in two unknowns! One solution is x = 1
How to solve equations for x and y?
The first thing you need to do is write each variable with its exponent and coefficient in both equations, so that you end up with two equations that look exactly the same. That step can be a challenge, so if you can't do it on your own, ask your teacher or parent for help. Once you have two equal equations, solve for each of the variables. The easiest way to do this is to graph the lines in each equation, so that you can see the relationship between the two variables
How to solve equations in unknowns?
If you are working with two equations, you will need to solve for both x and y. In the example above, the two variables are the length of each student's longest stick. You can solve this by adding up the length of each stick and solving for the unknowns in the resulting equation. To solve for the unknowns in your equations, simply add the two equations and solve for the unknowns.