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What are two ways to verify that your solutions are correct?
Graph the equations and see where they meet. Substitute back into both equations
For systems in which there is no linear equation you can isolate and substitute a variable that is what in both equations?
squared
How does writing equivalent equations help you solve a system of equations?
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.
How doI solve system of equations by substitution?
Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
What are the different Types of mathematical equations?
Algebraic equations, trigenometric equations, linear equations, geometric equations, partial differential equations, differential equations, integrals to name a few.
What are two ways to verify that your solutions are correct?
Graph the equations and see where they meet. Substitute back into both equations
How do you solve 3 dimensional equations?
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
For systems in which there is no linear equation you can isolate and substitute a variable that is what in both equations?
squared
Does it matter if you substitute the vaule in either equations to find the value of the other variable?
Not if they are consistent.
Translate this word problem as a system of equations and then solve using substitution?
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.
How does writing equivalent equations help you solve a system of equations?
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.
How do you solve simultanious equations?
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.
How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
Which of these is a reason to substitute the values back into the equations when solving a system by graphing?
you cannot determine the exact value of the point
Two numbers sum to 50 their difference is 16 what are two equations for this problem?
x + y = 50 x - y = 16 --------------- (add the two equations to solve for x) 2x = 66 x = 33 then substitute x into one of the above equations to get y = 17
Why do we substitute zero for the value of y when finding the solutions of quadratic equations?
Because the solutions are found on the x axis when y is zero.
Y=x+1 2x+3y=4?
1.20
