(- 2, - 3) is a solution to the given system of equations.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation are not presented in proper format. So, let assume the given system of are as below,
2 x - y = -1
2 x -4 y = 8
Now, subtract the second equation from the first, we get
(2 x - y) -(2 x - 4 y) = -1 -8
3 y = -9
y = -3 (obtained this when divide by 3)
Substituting y = - 3 into the first equation, we get
2 x - (-3) = - 1
2 x = - 1 + 3
x = - 2 (obtained when divide by 2)
Now, the answer is (x, y) = (- 2, - 3)
Answer:
B
I
Step-by-step explanation:
A triangle's angles must add up to 180
68+90+x=180
158+x=180
22=x
3 and 2 must add up to 180
70+x=180
angle 2= 110
angle 2 and angle 1 have to add up to 180 as well
110+x=180
andgle 1= 70
Not A C or E So maybe B or D hope this helped a little
<h3>
Answer:</h3>
8
<h2><u>
STEPS:</u></h2>
=57 times 4/57 times 2
=57/1 times 4/57 times 2
=4/2 times 2 (cancel common factor:57)
=4/1 times 2 (convert element to fraction 2= 2/1)
=4/1 times 2/1
Multiply the numbers (4 times 2)
=8/1 times 1 (Multiply the numbers 1 times 1)
Apply the fraction rule: a/1 =9
=8
<h2>
Answer:</h2>
Option: C is the correct answer.
C. 5
<h2>
Step-by-step explanation:</h2>
We will solve the following problem with the help of the Venn diagram.
Based on the Venn diagram we are asked to find the value of v i.e. those who have parakeet only.
From the information that:
x+y+10=35
i.e.
x+y=25
Also, based on the information :
u+z+10=28
i.e.
u+z=18
Also, 42 had neither a cat nor a dog nor a parakeet.
This means it cover the outer region of the three circles.
Total 100 families were surveyed it means that:
42+x+y+10+u+z+v=100
i.e. 42+25+10+18+v=100
i.e. 95+v=100
i.e. v=100-95
i.e. v=5
Hence, the number of families who have only parakeet are: 5