According to the University of Regina, another way to express solving for y in terms of x is solving an equation for y. The solution is not a numerical value; instead, it is an expression equal to y involving the variable x. An example problem given by the University of Regina is 8 + 5x = 9 - 4y.
Know MoreWith the example 8 + 5x = 9 - 4y, place the y variable on the left side and the x variable on the opposite side. To do so, first add 4y to each side of the equation. It is important to do the same operation on each side to keep the equation equal. Next, subtract 5x from each side. The equation that is left is 4y + 8 = 9 - 5x.
To solve for y in terms of x, the y variable must be alone on the left side of the equation. In the sample problem, subtract 8 from each side. The equation then becomes 4y = 1 - 5x.
The equation is now 4y = 1 - 5x. However, y must be alone in order for the equation to be solved for y. Divide each side by 4 to make y appear alone on one side of the equation. The equation then becomes y = (1 - 5x) / 4. Because y is isolated, the equation is now solved for y in terms of x.
The equation y = 2x + 1 is an example of a linear equation. When plotted on a coordinate plane, the result is a straight line. The generic version of the linear equation is y = mx + b, with m representing the slope of the line and b representing the y intercept, which is the point where the line crosses the y axis.
Full Answer >To solve by factoring, move all terms to the same side of the equation with subtraction or addition, and then find each factor in the equation. Setting each factor at zero provides all of the solutions to the equation.
Full Answer >To solve multi-step equations in algebra, you need to collect like terms, simplify the expressions and follow the order of operations to isolate the variable. Following the order of operations is vital, because other methods generally give incorrect results.
Full Answer >The equation y=csc(x) is a trigonometric function that looks like repeating regular and upside down "U"s. This function can also be written as y=1/sin(x) because cosecant is the inverse of the sine function.
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