Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: System of Linear Equations with Infinite Solutions |
Grade: 1400-a Lesson: S1-L7 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
In the system of equations above, s and m are constants. If the system has infinitely many solutions, what is the value of sm: sx + my = 12 and 3x + 12y = 6. |
|
2 |
Step |
The given system of equation are |
sx + my = 12 equation(1) and 3x + 12y = 6 equation(2) |
3 |
Step |
Equation(2) is multiply by the number is 2 |
2(3x + 12y = 6) 6x + 24 y = 12 equation(3) |
4 |
Hint |
Since both equations (1) and (3) are now equal to 12, now set them equal to each other. |
|
5 |
Step |
Then find the values of s and m |
sx + my = 6x + 24 y so here s = 6 and m = 24 |
6 |
Step |
Find the value of sm |
\$sm = 6 times 24\$ sm = 144 |
7 |
Step |
So, therefore the value of sm is 144. |
|
8 |
Choice.A |
This is correct value obtained from the solution of the equations |
144 |
9 |
Choice.B |
This is not the correct value obtained from the solution of the equations |
410 |
10 |
Choice.C |
This is not the correct value obtained from the solution of the equations |
414 |
11 |
Choice.D |
This is not the correct value obtained from the solution of the equations |
140 |
12 |
Answer |
Option |
A |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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