Lesson: Step-2

Unresolved directive in comm4/a4Steps2.adoc - include::../../../../comm1/lesson1/tableHeaderSteps.adoc[]

|1|{sbBox2-problem} 2+|Solve the following system of equations:
11x + 9y = 18 and 8x - 12y = 10. |2|Step: >|The given equation-1 is |11x + 9y = 18 |3|Step: >|The given equation-2 is | 8x - 12y = 10 |4|{sbBox2-hint}|Multiply equation-1 by 12, then we get equation-3 | 132x + 108y = 216 |5|{sbBox2-hint}|Multiply equation-2 by 9, then we get equation-4 | 72x - 108y = 90 |6|Step: >|Add equation-3
and equation-4 | \$132x + \cancel(108y) = 216\$
  \$ 72x - \cancel(108y) = 90\$ |7|Step:|After simplification, | 204x + 0 = 306 |8|Step:|Divide both sides by 102, and transfer the coefficient of x to the right side. This process yields the value of x. |

204x = 306

\$ 204/102 x = 306/102 \$

\$ x = 3/2 \$ |9|Step:|Substituting the value of x in equation-1, then we get y value | 16.5 + 9y = 18
\$ y = 1/ 6 \$ |10|Step: 2+|Therefore, the x and y values are \$x = 3/2, y = 1/6\$ |11|{sbBox2-sumup} |Can you summarize what you’ve understood in the above steps? |audio::https://uat-media.saibook.org/edu/family/counselor/v3/common/lesson/steps/sumup.mp3[width=24px,,float="right"] |12|{sbBox2-choice-a} |This solution fails to satisfy both equations simultaneously, making it invalid within the given system|\$x=2/3\$ and \$y=5/6\$
|13|{sbBox2-choice-b} |This solution is valid for the system, meeting the requirements of both equations at the same time| \$x = 3/2\$ and \$y = 1/6\$
|14|{sbBox2-choice-c} |This solution fails to satisfy both equations simultaneously, making it invalid within the given system| \$x=2/3\$ and \$y=-5/6\$
|15|{sbBox2-choice-d} |This solution fails to satisfy both equations simultaneously, making it invalid within the given system| \$x=-3/2\$ and \$y=1/6\$
|16|{sbBox2-answer}| Option | B |17|{sbBox2-sumup} |Can you summarize what you’ve understood in the above steps? |audio::https://uat-media.saibook.org/edu/family/counselor/v3/common/lesson/steps/sumup.mp3[width=24px,,float="right"]

Unresolved directive in comm4/a4Steps2.adoc - include::../../../../comm1/lesson1/tableFooterSteps.adoc[]