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what is the solution to the system of equations ?

Asked By: luobo1689 | Last Updated: 2022-05-14

what is the solution to the system of equations?

If you are asked if a point is a solution to an equation, we replace the variables with the given values and see if the 2 sides of the equation are equal (so is a solution), or not equal (so not a solution). A solution to a system of equations means the point must work in both equations in the system.

In this regard,How do you find the solution to a system of equations?

To solve a system of equations using substitution:

  1. Isolate one of the two variables in one of the equations.
  2. Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. ...
  3. Solve the linear equation for the remaining variable.

Likewise,What are the solutions to the system?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

Long,What are the 3 solutions to systems of equations?

There are three ways to solve systems of linear equations: substitution, elimination, and graphing.

Accordingly,What is a solution of equation?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values (one for each unknown) such that, when substituted for the unknowns, the equation becomes an equality.

Related Question Answers Found

What is the solution to the system of equations quizlet?

A set of equations with the same variables. The solution of the system is the ordered pair that is a solution for all of the equations. satisfies all equations in the system; can be writen as an ordered pair.

What is the solution to a system of equations Quizizz?

The solution to a system of equations is any ordered pair that makes both equations true.

What is the solution to the system of equations y =- 5x 3?

The solution to the system of equations y = -5x + 3 and y = 1 is x = 0.4 and y = 1.

What is the solution to the system of equations y 4x 10?

The solution to the system of equations is y = 4x - 10 when y = 2 is (3, 2).

What is the solution to this system of linear equations 7x 2y =- 6?

Answer: The solution for the system of linear equations 7x – 2y = – 6 and 8x + y = 3 is (x, y) = (0, 3)

What are the 4 ways to solve a quadratic equation?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

How do you solve system of equations by substitution?

Solve a system of equations by substitution

  1. Solve one of the equations for either variable.
  2. Substitute the expression from Step 1 into the other equation.
  3. Solve the resulting equation.
  4. Substitute the solution in Step 3 into one of the original equations to find the other variable.
  5. Write the solution as an ordered pair.