how to find x and y in this?
Answers
Solving for two variables (normally denoted as "x" and "y") requires two sets of equations. Assuming you have two equations, the best way for solving for both variables is to use the substitution method, which involves solving for one variable as far as possible, then plugging it back in to the other equation. Knowing how to solve a system of equations with two variables is important for several areas, including trying to find the coordinate for points on a graph.
Write out the two equations that have the two variables you want to solve. For this example, we will find the value for "x" and "y" in the two equations "3x + y = 2" and "x + 5y = 20"
Solve for one of the variables in on one of the equations. For this example, let's solve for "y" in the first equation. Subtract 3x from each side to get "y = 2 - 3x"
Plug in the y value found from the first equation in to the second equation in order to find the x value. In the previous example, this means the second equation becomes "x + 5(2- 3x) = 20"
Solve for x. The example equation becomes "x + 10 - 15x = 20," which is then "-14 x + 10 = 20." Subtract 10 from each side, divide by 14 and you have end up with x = -10/14, which simplifies to x = -5/7.
Plug in the x value in to the first equation to find out the y value. y = 2 - 3(-5/7) becomes 2 + 15/7, which is 29/7.
Check your work by plugging in the x and y values in to both of the equations.
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How to Find X-Intercept & Y-Intercept
X and Y intercepts are used to graph linear equations.
Updated April 24, 2017
By Sean Farmer
X and Y intercepts are part of the basis for solving and graphing liner equations. The X-intercept is the point at which the equations line will cross the X axis, and the Y intercept is the point at which the line crosses the Y axis. Finding both of these points will allow you to locate any point on the line. Identifying X and Y intercepts from a liner equation is a simple process that can be done by anyone with basic algebraic knowledge.
X-intercept
Replace Y with 0. For example, to find the X-intercept of 2x + 5y = 10, you will replace the Y with 0 making it: 2x + 5(0) = 10.
Simplify the equation. For example, the equation 2x + 5(0) = 10 would simplify to 2x = 10.
Divide each side of the equation by the multiplying factor of X. For example, in the equation 2x = 10, you would divide both sides of the equation by 2, leaving you the X-intercept of x = 5.
Y-intercept
Replace X with 0. For example, in the equation 2x + 5y = 10 you would rewrite the equation as 2(0) + 5y = 10.
Simplify the equation. For example, 2(0) + 5y = 10 would be simplified to 5y = 10.
Divide both sides of the equation by the multiplying factor of Y. For example, the equation 5y = 10 would have both sides divided by 5, leaving the y-intercept of y = 2.
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