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How to find the linear equation?

How to find the linear equation?

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y).

What is the solution to this system of linear equations x − 3y − 2?

x – 3y = -2, x + 3y = 16. Let us solve the system of linear equations using the substitution method. Therefore, the solution is (7, 3).

What is the solution to 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.

What is the y-intercept formula?

The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept.

How do you find the linear equation of a graph?

Given the graph of a line, you can determine the equation in two ways, using slope-intercept form, y=mx+b y = m x + b , or point-slope form, y−y1= m(x−x1) y − y 1 = m ( x − x 1 ) . The slope and one point on the line is all that is needed to write the equation of a line.

What are the 3 methods for solving systems of equations?

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

What is the solution to the system of linear equations?

The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

Which ordered pair is a solution to the equation 2x 3y 6?

1 Expert Answer So 3 ordered pairs are (0, -2), (3, 0), and (6, 2). Hope this helps!

What is an example of solution of an equation?

A solution to an equation is a number that can be plugged in for the variable to make a true number statement. 3(2)+5=11 , which says 6+5=11 ; that’s true! So 2 is a solution. In fact, 2 is the ONLY solution to 3x+5=11 .

Can an equation have more than one solution?

There can be more than one solution to a system of equations. A system of linear equations will have one point of intersection, or one solution. To graph a system of equations that are written in standard form, you must rewrite the equations in slope -intercept form.