X + x + 1+ x + 2 = -27
3x + 3 = -27
3x = -27 -3
x = -30/3
x = - 10
x + 1 = -10 + 1 = -9
x + = -10 + 2 = -8
answer <span>{-10, -9, -8}</span>
The length of all the sides is same, if u want to write it as an expression, you can write it as any variable, x,y or z
<span>The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.</span>
<span><span>One SolutionNo SolutionsInfinite Solutions</span><span /><span><span>If the graphs of the equations intersect, then there is one solution that is true for both equations. </span>If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.</span></span>
When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Some special terms are sometimes used to describe these kinds of systems.
<span>The following terms refer to how many solutions the system has.</span>
Area = pi x radius squared... so
a = pi x 10in^2
a = 314.159
Example:
The sum of two consecutive integers is -15. What is the product of the two integers?
x = 1st consecutive integer
x + 1 = 2nd consecutive integer {consecutive integers increase by 1}
x + x + 1 = -15 {the sum of two consecutive integers is -15}
2x + 1 = -15 {combined like terms}
2x = -16 {subtracted 1 from each side}
x = -8 {divided each side by 2}
x + 1 = -7 {substituted -8, in for x, into x + 1}
-8 and -7 are the two consecutive integers
Their product is 56.
