One linear equation: Ax + By = C (A, B, and C are constants) Another linear equation: Dx + Ey = F (D, E, and F are constants) Their sum: (A+D)x + (B+E)y = (C + F) The coefficients (A+D), (B+E), and (C+F) are still constants, so the sum is still a linear equation.
I guess you mean, you want to add two equations together. The idea is to do it in such a way that one of the variables disappears from the combined equation. Here is an example:5x - y = 15 2x + 2y = 11 If you add the equations together, no variable will disappear. But if you first multiply the first equation by 2, and then add the resulting equations together, the variable "y" will disappear; this lets you advance with the solution.
Solving linear equations using linear combinations basically means adding several equations together so that you can cancel out one variable at a time. For example, take the following two equations: x+y=5 and x-y=1 If you add them together you get 2x=6 or x=3 Now, put that value of x into the first original equation, 3+y=5 or y=2 Therefore your solution is (3, 2) But problems are not always so simple. For example, take the following two equations: 3x+2y=13 and 4x-7y=-2 to make the "y" in these equations cancel out, you must multiply the whole equation by a certain number.
Multiply the top equation by -3 and the bottom equation by 2.
You multiply one or both equations by some constant (especially chosen for the next step), and add the two resulting equations together. Here is an example: (1) 5x + 2y = 7 (2) 2x + y = 3 Multiply equation (2) by -2; this factor was chosen to eliminate "y" from the resulting equations: (1) 5x + 2y = 7 (2) -2x -2y = -6 Add the two equations together: 3x = 1 Solve this for "x", then replace the result in any of the two original equations to solve for "y".
There are four steps in an algebraic elimination problem. These steps are: to find a variable with equal or opposite coefficients, if equal then subtract the equations but if opposite then add, solve one variable equation left, and then substitute known variable into other equation and solve. hi
You add or subtract, as required by the equation!
I guess you mean, you want to add two equations together. The idea is to do it in such a way that one of the variables disappears from the combined equation. Here is an example:5x - y = 15 2x + 2y = 11 If you add the equations together, no variable will disappear. But if you first multiply the first equation by 2, and then add the resulting equations together, the variable "y" will disappear; this lets you advance with the solution.
Solving linear equations using linear combinations basically means adding several equations together so that you can cancel out one variable at a time. For example, take the following two equations: x+y=5 and x-y=1 If you add them together you get 2x=6 or x=3 Now, put that value of x into the first original equation, 3+y=5 or y=2 Therefore your solution is (3, 2) But problems are not always so simple. For example, take the following two equations: 3x+2y=13 and 4x-7y=-2 to make the "y" in these equations cancel out, you must multiply the whole equation by a certain number.
You add one side of each of the equations to form one side of the new equation. You add the other sides of the equations to form the other side. Subtraction is done similarly.
you add 1+1= 25 simple ;)
Multiply the top equation by -3 and the bottom equation by 2.
write out the balanced equation that you need then write out formation equations (2-4) that will give you those reactants and products. manipulate the equations by reversing them or multiplying or dividing by whatever number. until you have what you need for the original equation. whatever you do to the equation, do it to the enthalpy for that equation. everything should add or cancel until you have the equation needed and you can add the enthalpies to get the enthalpy for that equation
1. Solve one equation for one of the variable. Replace the variable for the equivalent expression, in the remaining equations.2. Add one equation (possibly multiplied by some factor) to another equation, in such a way that one of the variables get eliminated. For the specific case of linear equations, there are several additional methods, for example using determinants, or matrices.
No. In the variable x, alone, it is linear. In the variable y, alone, it is linear. But taken together, in x and y, you have a term which contains xy - that is, a term in which the powers of the unknowns add to 2. So the equation is not linear.
There are several techniques to solve linear equations. One common technique is the elimination method, where you eliminate one variable by adding or subtracting equations. Another technique is substitution, where you solve one equation for a variable and substitute it into the other equation. You can also use matrices and row operations to solve linear equations.
You multiply one or both equations by some constant (especially chosen for the next step), and add the two resulting equations together. Here is an example: (1) 5x + 2y = 7 (2) 2x + y = 3 Multiply equation (2) by -2; this factor was chosen to eliminate "y" from the resulting equations: (1) 5x + 2y = 7 (2) -2x -2y = -6 Add the two equations together: 3x = 1 Solve this for "x", then replace the result in any of the two original equations to solve for "y".
To solve two simultaneous equations - usually two equations with the same two variables each - you can use a variety of techniques. Sometimes you can multiply one of the two equations by a constant, then add the two equations together, to get a resulting equation that has only one variable. Sometimes you can solve one of the equations for one variable, and replace this variable in the other equation. Once again, this should give you one equation with a single variable to be useful.