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How do you determine the values of x and y in a linear equation in two variables?
Wiki User
∙ 12y ago
There are 4 ways to do it. You can graph, use substitution, use elimination, or use matrices.
Graphing:
Graph the two equations and the coordinates where they intersect are the answer.
Substitution:
Solve one of the equations for one of the variables and substitute that in the other equation. Then you'll find the value of that variable and you can substitute that and get the other variable.
Elimination:
Make the coefficients of one of the variables opposites of each other and then add both equations. The opposites will cancel and you have the other variable. Then when you find that variable, find the other one by substituting the number for that variable in one of the equations.
Matrices:
Make sure both equations are in standard form (Ax+By=C). Then make a 2x2 matrix that has the coefficients of x in the left column and the coefficients of y in the right column and each equation gets its own row. Then make a 2x1 matrix with the C values. Put the C value of the equation you put at the top at the top and the other one at the bottom. Then multiply the inverse of the 2x2 matrix by the 2x1 matrix and you'll get a 2x1 matrix with x at the top and y at the bottom.
Wiki User
∙ 12y ago
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What is y equals 1x plus 6?
It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is the solution to the equation?
It is the set of values for all the variables in the equation which make the equation true.
Which equation matches the table of values?
The equation which remains true for each set of variables in the table.
What does SOLVE stand for in math?
"Solve an equation" means "find out, for which values of the variable or variables is the equation true".
What is y equals 1x plus 6?
It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.
Is there an explicit solution to a single linear equation with two variables?
Such an equation has an infinite set of solutions. You can solve the equation for one variable, in terms of the other. Then, by replacing different values for one of the variables, you can get different solutions.
What is the difference between a linear equation with one variable and a linear equation with two variables?
A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.
What are you trying to find when solving a system of linear equations?
You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.
What information does and equation tell you?
the relationship between variables and/or variables and values
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is the solution to the equation?
It is the set of values for all the variables in the equation which make the equation true.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
What are the variables in this equation 3ab plus c over 2?
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
What does it mean to be a solution to an equation?
A solution to an equation is a set of values for the variables in the equation which make it true.
What is 3x plus 1.80y equals 36?
It's a single linear equation in two variables. The graph of the equation is a straight line; every point on the line is a set of values that satisfy the equation. In other words, there are an infinite number of pairs of (x,y) values that satisfy it. In order to figure out numerical values for 'x' and 'y', you would need another equation.
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
