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sleet_krkn [62]
3 years ago
10

Which properties justify the steps taken to solve the system?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

This system of equations was solved  the Reduction Method:


 Step 1: Multiply the equations by the appropriate numbers (The first equation was multiplied by 5 and the other one bye 7), so that one of the variables disappears by subtracting both equations.

 Step 2: The equations were algebraically added and one of the variables disappeared (Resulting in 31a= 217).

 Step 3: The variable "a" was cleared to know its value (a= 217/31= 7).

 Step 4: The value "a" obtained is substituted in one of the previous equations.

 Step 5: Multiply the 2 (coefficient of "a" in the first equation) by the value "a" obtained (2x7= 14).

 Step 6: The independent term "14" is passed to the right member and his sign changes to negative (-14)

 The final step is to clear variable "b" to know its value (b= -17/4= -2).

Step-by-step explanation:


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The graph below shows four straight lines, W, X, Y, and Z: Graph of line W going through ordered pairs negative 4, negative 2 an
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Given:
<span>Graph of line W going through ordered pairs negative 4, negative 2 and negative 1, 5.
Graph of line X going through ordered pairs negative 2, negative 1 and 0, 5.
Graph of line Y going through ordered pairs negative 1, negative 3 and 1, 3.
Graph of line Z going through ordered pairs 0, negative 5 and 2, 1

Slope formula: m = y2-y1 / x2 - x1
mW = 5 - (-2) / -1 - (-4) = 5 + 2 / -1+ 4 = 7 / 3 = 2 1/3
mX = 5 - (-1) / 0 - (-2) = 5 + 1 / + 2 = 6 / 2 = 3
mY = 3 - (-3) / 1 - (-1) = 3 + 3 / 1 + 1 = 6 / 2 = 3
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</span><span>f(x) = 3x + 5
X: </span><span>negative 2, negative 1 and 0, 5
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Y: </span><span>negative 1, negative 3 and 1, 3
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f(1) = 3(1) + 5 = 3 + 5 = 8 </span>≠ 3

Z: <span>0, negative 5 and 2, 1
f(0) = 3(0) + 5 = 0 + 5 = 5 </span>≠ -5
f(2) = 3(2) + 5 = 6 + 5 = 11 ≠ 1


<span>LINE X is represented by the function f(x) = 3x + 5</span>
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