<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>
64^(4/3)
= 256
32^(3/5)
= 8
625^(3/4)
= 125
81^(5/4)
= 243
Answer:
Number line graph with closed circle on 30 and shading to the right
because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.
THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.
The ordered pair (7,3) means there is an “x” value of 7, and a “y” value of 3 at said coordinate.
Alright, if the original scale was 1 inch = 8 miles, and Dale's house to his school are 1 1/2 inches apart, let's find the amount of miles.
Here's a fast way. 1 inch is 8 miles, and half of 8 equals 4 miles, which is 1/2 of an inch., 8 + 4 = 12 miles.
So if his house and the school were 12 miles apart, and we we're using the 1 inch. = 6 miles scale, then it'd be 2 inches on the map.
How?
If 1 inch. = 6 miles
x inches = 12 miles
12/6 = 2
2 inches = x
