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Nadusha1986 [10]
3 years ago
8

3x - y = 6 and y = x - 4, use addition to solve the linear system of equations.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0
3x-y=6
y=x-4
solve by substitution
3x-x+4=6
2x=2
x=1

Now that you know x, but in in the equation to find y (either equation will work)
y= 1-4
y= -3

now that you have both answers, let's check them.

3(-1) - (-3) =6
yes, it works....

Hopefully this makes sense!
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Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?
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Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.

So,W is the midpoint of RSV is the midpoint of RTWe are given that:RV = 4x + 3 and VT = 2x + 9

Since V is the midpoint, then:RV = VT4x + 3 = 2x + 94x - 2x = 9 - 32x = 6x = 3

Now put the value of x in WS = 5x-1WS = 5x-1WS = 5(3) - 1 WS = 15 - 1 = 14WS = 14

Since W is the midpoint of RS, therefore RW = WSand WS = 14Therefore:
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ElenaW [278]

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9514 1404 393

Answer:

  A. The equation represents a linear function because the equation is in the form y = mx + b

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  choice A is appropriate

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A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.

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