# Solve For Y Problems

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If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

Now that we’ve seen the definitions of exponential and logarithm functions we need to start thinking about how to solve equations involving them.

In this section we will look at solving exponential equations and we will look at solving logarithm equations in the next section.

There are two methods for solving exponential equations.

Felix may notice that now both equations have a constant of 25, but subtracting one from another is not an efficient way of solving this problem.

Instead, it would create another equation where both variables are present.In a system of linear equations, each equation corresponds with a straight line corresponds and one seeks out the point where the two lines intersect.Example Solve the following system of linear equations: $$\left\{\begin y=2x 4\ y=3x 2\ \end\right.$$ Since we are seeking out the point of intersection, we may graph the equations: We see here that the lines intersect each other at the point x = 2, y = 8.And since x y = 8, you are adding the same value to each side of the first equation.If you add the equations above, or add the opposite of one of the equations, you will get an equation that still has two variables.Multiplication can be used to set up matching terms in equations before they are combined.When using the multiplication method, it is important to multiply all the terms on both sides of the equation—not just the one term you are trying to eliminate.If you multiply the second equation by −4, when you add both equations the y variables will add up to 0. Instead of multiplying one equation in order to eliminate a variable when the equations were added, you could have multiplied both equations by different numbers. Adding 4x to both sides of Equation A will not change the value of the equation, but it will not help eliminate either of the variables—you will end up with the rewritten equation 7y = 5 4x.The correct answer is to add Equation A and Equation B. Multiplying Equation A by 5 yields 35y − 20x = 25, which does not help you eliminate any of the variables in the system.But the slopes are the same fraction, rather than one being the flip (that is, the reciprocal) of the other, so these lines are not perpendicular, either.So if you have a system: x – 6 = −6 and x y = 8, you can add x y to the left side of the first equation and add 8 to the right side of the equation.

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