Answer:
The desired point is thus (-1/2, -5).
Step-by-step explanation:
The x-component of this directed line segment is 2 - (-8), or 10, and the y-component is -7 - (1), or -8. This segment is in Quadrant II, since the x-component is positive and the y-component is negative.
The point of interest is (3/4) of the way in the positive x-direction from x = -8. We can express this symbolically as -8 + (3/4)(10), or -8 + 7.5, or -1/2.
The point of interest is 3/4 of the way in the negative y direction from 1, or:
1 + (3/4)(-8), or 1 - 6, or -5.
The desired point is thus (-1/2, -5).
$ 0.1369 to the nearest cent ( aka hundredth decimal place) would be $ 0.14
Answer:
Multiply the top equation by -3 and the bottom equation by 2
Step-by-step explanation:
Given <u>system of equations</u>:

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>. To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.
<u>To eliminate the </u><u>variable y</u>:
Multiply the top equation by -3 to make the coefficient of the y variable 6:

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

Add the two equations together to <u>eliminate y</u>:

<u>Solve</u> for x:


<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:





Learn more about systems of equations here:
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Step-by-step explanation: