Table of Contents
- 1 What is the solution if both equations are the same?
- 2 What happens when both sides of the equation are equal?
- 3 Which of the equation has two solution?
- 4 What happens if 2 lines have the same Y intercept?
- 5 Which is the solution of the system of equations and what does it represent?
- 6 What is a solution to a system of equation?
- 7 How to find the solution to a system of linear equations?
- 8 How do you solve a system of equations by substitution?
What is the solution if both equations are the same?
A system of linear equations has infinite solutions when the graphs are the exact same line. Want to learn more about the number of solutions to systems of equations?
What happens when both sides of the equation are equal?
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true.
How do you solve systems of equations with equal values?
Starts here9:39Equal Values Method (Solving Systems) – YouTubeYouTubeStart of suggested clipEnd of suggested clip51 second suggested clipThing is you’re going to set them equal see how i put the 6x on one side of the equal sign and theMoreThing is you’re going to set them equal see how i put the 6x on one side of the equal sign and the 2x plus 4 on the other side of the equal sign that’s why it’s called the equal values or setting.
What does the solution to a system of equations represent when given two equations?
The solution to a system of linear equations in two variables is any ordered pair (x,y) that satisfies each equation independently. Graphically, solutions are points at which the lines intersect.
Which of the equation has two solution?
quadratic equation
A quadratic equation with real or complex coefficients has two solutions, called roots.
What happens if 2 lines have the same Y intercept?
Explanation: If two lines have different slopes, they cannot be the same line. However, if they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.
What is the solution for the equation?
A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation. To find the solution to an equation means to find the value of the variable that makes the equation true.
How do you do fraction buster?
Starts here2:05How to solve equations with fractions| FRACTION BUSTERS – YouTubeYouTube
Which is the solution of the system of equations and what does it represent?
When we talk about the solution of this system of equations, we mean the values of the variables that make both equations true at the same time.
What is a solution to a system of equation?
A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system.
How do you know if two systems of equations are equivalent?
Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself. In contrast, we can be sure that two systems of equations are not equivalent if we know that a solution of the one is not a solution of the other.
What is the solution of the equation?
The value of the variable for which the equation is satisfied is called the solution of the equation. To solve any equation we need to perform arithmetic operations, to separate the variable, such as: Based on these operations, we can isolate the given variable in the equation and solve any equations.
How to find the solution to a system of linear equations?
The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4, 7) is the solution to the system of linear equations. We can verify the solution by substituting the values into each equation to see if the ordered pair satisfies both equations.
How do you solve a system of equations by substitution?
One such method is solving a system of equations by the substitution method, in which we solve one of the equations for one variable and then substitute the result into the second equation to solve for the second variable.