Choose the graph that matches the following system of equations:
2 answers:
Answer:
(4) graph is correct.
Step-by-step explanation:
Given: the following system of equations:
7x + 2y = −6
6x − 7y = 21
We have to choose the correct graph for the given system of equations.
Consider the given system of equations:
7x + 2y = −6 .....(1)
6x − 7y = 21 .........(2)
Multiply (1) by 7 and (2) by 2 , we have,
( 7x + 2y = -6 ) × 7 , we have,
49x + 14y = - 42 ........(3)
( 6x − 7y = 21 ) × 2 , we have,
12x − 14y = 42 .............(4)
Add (3) and (4) , we have,
49x + 14 y + (12x - 14y)= - 42 + 42
49x + 12x = 0
x = 0
Put in (1) , we have,
7(0) + 2y = −6 ⇒ 2y = -6 ⇒ y = -3
Thus, (0, -3) is the solution.
So, (4) graph is correct.
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the table below:
Grade In favor Opposed Undecided Total
Grade 9 6 4 8 18
Grade 10 10 11 9 30
Grade 11 12 15 11 38
Grade 12 15 6 14 35
If the principal randomly selects a student in grade 10 from this survey,
the probability that the student is opposed to extending the school day
P ( student in grade 10 is opposed)= Number of student in opposed(grade10) / total number of students in grade 10
Number of student opposed who is in grade10 = 11
total number of students in grade 10 = 30
P( student in grade 10 is opposed)=
= 0.37
the probability that the student is opposed to extending the school day= 0.37