Your answers are x = 2 & y = 1
Original Equations
x - 2y = 0
3x + 2y = 8
Solve for a variable (x)
x = 2y
Substitute x with its equation
3*(2y) + 2y = 8
6y + 2y = 8
8y = 8
y = 1
Solve for second variable
x = 2*(1)
x = 2
Check your answer
(2) - 2*(1) = 0
3*(2) + 2*(1) = 8
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
yes
Isolating a variable in one of the equations.
A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.
It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
The answer depends on the nature of the equations. For a system of linear equations, the [generalised] inverse matrix is probably simplest. For a mix of linear and non-linear equations the options include substitution, graphic methods, iteration and numerical approximations. The latter includes trail and improvement. Then there are multi-dimensional versions of "steepest descent".
(2,3)
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
isolate
The first step is to show the equations which have not been shown.
I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.
-10
yes
2x + 2y = 44x + y = 1There are many methods you can use to solve this system of equations (graphing, elimination, substitution, matrices)...but no matter what method you use, you should get x = -1/3 and y = 7/3.
Graphical methods involve examining charts, pictures, and graphs to determine the answer to a problem. This would be used when finding the solution to a system of equations and graphing all the equations to find points at which they coincide. Analytical methods involve calculating answers without the use of charts or graphs. If one were to solve a system of equations by substitution, this would be an example of an analytically produced solution
Isolating a variable in one of the equations.