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By eliminating or substituting one of the variables in the two equations in order to find the value of the other variable. When this variable is found then substitute its value into the original equations in order to find the value of the other variable.
There are several ways to do it - depending, in part, on the kind of equations. Sophisticated methods exist specifically for linear equations, among others. However, for a start, you can combine equations (1) and (2), eliminating one variable; the same for equations (2) and (3), and for equations (3) and (4) (eliminating the same variable in every case). That leaves you with 3 equations with 3 variables. Similarly, reduce the 3 equations in 3 variables, to 2 equations in 2 variables (eliminating the same variable in every case). Combine those into a single equation with 1 variable. Example for eliminating a variable: (Eq. 1) 5a + 3b - 3c + 8d = 28 (Eq. 2) 8a - 3b + 8c - 6d = 8 If you just add up the equations, you eliminate variable b. If you want to eliminate variable a, multiply the first equation by 8, and the second by (-5), then add the resulting equations.
It is using a set of two equations, adding them together, eliminating one variable and finding the value of the other variable.
You need to make the terms on each side as much alike as possible in the two equations for easy thought process. For example, Let us look at the following two equations. a * b = c * d --- (1) x * d = k * a --- (2) Rearrange (2) so that 'd' is on the right side of the equation and 'a' on the left. a * k = x * d --- (3) Divide (1) by (3): b / k = c / x --- (4) I have eliminated two variables from (1) and (2) to form equation (4). ===========================
You cannot work a simultaneous equation. You require a system of equations. How you solve them depends on their nature: two or more linear equations are relatively easy to solve by eliminating variables - one at a time and then substituting these values in the earlier equations. For systems of equations containing non-linear equations it is simpler to substitute for variable expression for one of the variables at the start and working towards the other variable(s).
By eliminating or substituting one of the variables in the two equations in order to find the value of the other variable. When this variable is found then substitute its value into the original equations in order to find the value of the other variable.
There are several ways to do it - depending, in part, on the kind of equations. Sophisticated methods exist specifically for linear equations, among others. However, for a start, you can combine equations (1) and (2), eliminating one variable; the same for equations (2) and (3), and for equations (3) and (4) (eliminating the same variable in every case). That leaves you with 3 equations with 3 variables. Similarly, reduce the 3 equations in 3 variables, to 2 equations in 2 variables (eliminating the same variable in every case). Combine those into a single equation with 1 variable. Example for eliminating a variable: (Eq. 1) 5a + 3b - 3c + 8d = 28 (Eq. 2) 8a - 3b + 8c - 6d = 8 If you just add up the equations, you eliminate variable b. If you want to eliminate variable a, multiply the first equation by 8, and the second by (-5), then add the resulting equations.
It is using a set of two equations, adding them together, eliminating one variable and finding the value of the other variable.
x isn't a value, just a variable standing for a number
Yes, that is often possible. It depends on the equation, of course - some equations have no solutions.
You need to make the terms on each side as much alike as possible in the two equations for easy thought process. For example, Let us look at the following two equations. a * b = c * d --- (1) x * d = k * a --- (2) Rearrange (2) so that 'd' is on the right side of the equation and 'a' on the left. a * k = x * d --- (3) Divide (1) by (3): b / k = c / x --- (4) I have eliminated two variables from (1) and (2) to form equation (4). ===========================
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
You cannot work a simultaneous equation. You require a system of equations. How you solve them depends on their nature: two or more linear equations are relatively easy to solve by eliminating variables - one at a time and then substituting these values in the earlier equations. For systems of equations containing non-linear equations it is simpler to substitute for variable expression for one of the variables at the start and working towards the other variable(s).
Linear Equations are equations with variable with power 1 for eg: 5x + 7 = 0 Simultaneous Equations are two equations with more than one variable so that solving them simultaneously
If "equations-" is intended to be "equations", the answer is y = -2. If the first equation is meant to start with -3x, the answer is y = 0.2
Unlike equations (or inequalities), identities are always true. It is, therefore, not possible to solve them to obtain values of the variable(s).