Answer:
Step-by-step explanation:
<h3>The first line</h3>
- Line x - y > 5 ⇒ y < x - 5
<u>This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:</u>
<h3>The second line</h3>
- Line x + 2y < -6 ⇒ 2y < - x - 6 ⇒ y < -1/2x - 3
<u>This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:</u>
<u>Solution of the system is the intersection of the areas:</u>
Yes! There is one output and one input, which is the definition of a function. You can also graph the function and test for the vertical line test. Graph a few points, connects the dots. Draw a vertical line through the graph and if the vertical line passes through the graph more than once, it is not a graph.
To solve for x, you simplify both sides of the equation and then isolate the variable.
<em>10x + 12 = $72.00</em>
<em>x = 6</em>
Six people attended the concert.
<em>Check the answer:
(10 • 6) + 12 = 72.00
60 + 12 = 72.00
_____________________________________________________________
<u>Answer: x = 6</u></em>
Answer:
x = -
and y = 
Step-by-step explanation:
2x + 5y = 11
7x + 4y = 2
Let's try elimination here since we have a system of equations:
-7(2x + 5y = 11) = -14x - 35y = -77
and
2(7x + 4y = 2) = 14x + 8y = 4
The <em>x</em>'s cancel out now so let's combine the two equations:
-35 + 8 = -27
-77 + 4 = -73
-27y = -73
y = 
Now that we have <em>y</em>'s value, let's plug that value in for <em>y</em> in the other equation. You may choose whichever equation you want to solve for <em>x</em> but it is recommended to use the easiest one. (Since this value is complicated, it won't really matter.)
2x + 5(
) = 11
2x +
= 11
2x = -
x = -
To check and make sure you have the correct values, plug both values into the orginal equation and make sure the equation is true.