Each equation form a straight slanting line. For the first equation, it is slanting towards the right which denotes that it has a positive slope. For the the second equation, its plot is slanting towards the left denoting that its slope is negative. Common to both equation is the point (-1.25, 2.75). At this point, the two lines intersect.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that can represent the total income of Sheryl is 7e+13n.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Since Sheryl makes $7 per pair of earrings and $13 per necklace, therefore, the expression that can represent her total income of Sheryl is 7e+13n.
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Answer:
100% increase from 100 is 200, the difference is 100.
100% decrease from 100 is 0, the difference is -100
error means that you were quite a long way off from the true value.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
