You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3. You can not have a fraction in standard form so you solve this. 2(3/2x+y)=3(2). To get: 3x+2y= 6. Now you have a standard form equation!
General strategy for solving linear equations. Step 1. Simplify each side of the equation as much as possible. Use the Distributive Property to remove any parentheses. Combine like terms. Step 2. Collect all the variable terms on one side of the equation. Use the Addition or Subtraction Property of Equality. Step 3. Logᵦ (c) = a Where ᵦ is the base can be rewritten as. ᵦ^a = c That is ᵦ rasied to the power of a = c. Your expression is. log (3x+2)=2 and the base ᵦ is not shown. When log is used without the base shown, a base 10 is implied, So your equation is. log (base10) of (3x+2) = 2. You need to convert to the exponential form.
You have probably already figured this out by now, but you can use the second equation to solve for the first one :D Since the second equation says that y=x-3, you can substitute "x-3" into the first equation so that there's only one variable (x). Then you can solve the rest of the equation, I believe.
There are generally multiple ways to solve such problems and the possibilities depend on the particular problem. For the first problem, (3/2)^x = 5, for example, you could find an upper and lower bound for the value of x and then keep shrinking the range of values to get better approximations for x. Alternatively, a more complex solution would

Beginning Strategy for Solving Equations with Variables and Constants on Both Sides of the Equation. Step 1. Choose which side will be the “variable” side—the other side will be the “constant” side. Step 2. Collect the variable terms to the “variable” side of the equation, using the Addition or Subtraction Property of Equality.

A quadratic inequality involves a quadratic expression in it. Here is the process of solving quadratic inequalities. The process is explained with an example where we are going to solve the inequality x 2 - 4x - 5 ≥ 0. Step 1: Write the inequality as equation. x 2 - 4x - 5 = 0. Step 2: Solve the equation. Here are some methods that you can try however none of them are perfect. Start dividing by 2, then 3 until you get 1. Find the inverse of one of the factorial approximations.
A quadratic equation is an equation that could be written as ax 2 + bx + c = 0 when a 0. There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square. Factoring. To solve a quadratic equation by factoring, Put all terms on one side of the equal sign, leaving zero on the other
To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or negative. Solve each case with algebra. The answer is both cases together, in intervals or words. Created by Sal Khan and CK-12 Foundation. Keep your goal in mind. When you finish solving an equation like the one in the video, your answer needs to look like: X = a number. To accomplish this, you need to isolate X on one side of the equation. This means that anything on the same side as X needs to be moved to the other side. In the video, the 2 is on the same side as X. .
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