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Lesson Example Discussion Quiz: Class Homework

Step-2

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, h and p are constants. If the system has infinitely many solutions, what is the value of h - p: - x + 6y = 9 and hy - px = 81
2	Step	The given system of equation are	-x + 6y = 9 equation(1) hy - px = 81 equation(2)
3	Step	Equation(1) is multiply by the number is 9	9(-x + 6 y = 9) -9x + 54 y = 81 equation(3)
4	Step	Since both equations (2) and (3) are now equal to 81. So , now set them equal to each other
5	Step	Then find values of h and p	hy - px = -9x + 54y hy - px = 54y - 9x So, here h = 54 and p = 9
6	Step	Then now find the value if h - p	h - p = 54 - 9 h - p = 45
7	Step	So therefore the value of h - p = 45.
8	Choice.A	TThis is wrong due to miscalculations	50
9	Choice.B	This is correct due to accurately done the calculations	45
10	Choice.C	This is wrong due to miscalculations	40
11	Choice.D	This is wrong due to miscalculations	54
12	Answer	Option	B
13	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

In the system of equations above, h and p are constants. If the system has infinitely many solutions, what is the value of h - p: - x + 6y = 9 and hy - px = 81

Step

The given system of equation are

-x + 6y = 9 equation(1)

hy - px = 81 equation(2)

Step

Equation(1) is multiply by the number is 9

9(-x + 6 y = 9)

-9x + 54 y = 81 equation(3)

Step

Since both equations (2) and (3) are now equal to 81. So , now set them equal to each other

Step

Then find values of h and p

hy - px = -9x + 54y

hy - px = 54y - 9x

So, here h = 54 and p = 9

Step

Then now find the value if h - p

h - p = 54 - 9
h - p = 45

Step

So therefore the value of h - p = 45.

Choice.A

TThis is wrong due to miscalculations

Choice.B

This is correct due to accurately done the calculations

Choice.C

This is wrong due to miscalculations

Choice.D

This is wrong due to miscalculations

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?