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3 years ago

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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Step-by-step explanation:

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The linear inequality $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality. the correct option is D.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).

m = (-8 -2)/ (2 +2)

m = -10/ 4

m = -5/2

The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.

$y \geq -5/2 (x-3)$

The linear inequality $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality.

Thus, the correct option is D.

Learn more about inequality ;

brainly.com/question/14164153

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