I assume you have : 5x - 9 = 3x + 11
This is a single algebraic expression.
Subtract 3x from both sides.
5x - 9 - 3x = 3x + 11 - 3x
2x - 9 = 11
Add 9 to both sides :
2x - 9 + 9 = 11 + 9
2x = 20
x = 10 <-------------------------------------
You would set the equation equal to 0 and then solve for x. You may get one or several answers for x, x being the number(s) that make the equation equal 0.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the equation.
you don't answer an equation, you solve an equation
What does it mean when it says to solve if tr equation or has no solution state that fact
. Solve the following equation for x: 5(x − 4) = 10
solve it
If you solve such an equation for "y", you get an equation in the slope-intercept form.
you can only solve for one in an equation so it can equal something
How do you use division to solve a multiplication equation?Answer this question…
It is not an equation if it does not have an equals sign. You could simplify it but not solve it.
Extraneous solutions turn up in a few different p;aces in algebra. One reason they turn up in logarithmic equations is that you can only have a log of a positive number, but when you solve the equation, one of the answers is negative. Did you ever do a word problem about a rectangle and have to solve a quadratic equation? You probably got 2 answers, and had to reject one of them because the length of a rectangle can't be negative. Same idea: the algebra doesn't understand what the problem is about, it just churns out answers!