2x + y = 7
-x + y = 1
Answers
-x + y = 1 ---> ( 2nd equation)
Let's solve this problem by substitution method
So let's set 2nd equation to y equals
-x + y = 1 ---> ( 2nd equation)
adding x on both sides
y = 1 + x ---> (3rd Equation )
Substituting the value of y in equation 1
2x + x + 1 = 7
subtracting 1 from both sides
2x + x = 6
adding like terms on the left side
3x = 6
dividing both sides by 3
x = 2
Substituting the value of x in 2nd equation
-x + y = 1
-2 + y = 1
adding 2 on both sides
y = 1 + 2
y = 3
So, our answer is x = 2
y = 3
To check the answer pick any equation and substitute the values of x and y check check if it is equal to Right hand side
2(2) + 3 = 7 ( substituting in 1st equation)
4 + 3 = 7
7 = 7
-2 + 3 = 1 ( substituting in 2nd equation)
1 = 1
Hence proved.
Hope this helps you. :D
-x+y =1 --> y = 1+x
Substitution y -->
2x+1+x=7;
3x+1=7;
3x=6;
x=2
y=1+2=3
x=2, y=3
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Alberto's friend Jackson says 1/3 of Alberto's fish are catfish. Is Jackson correct?
Given:
zebra danios
catfish
fancy guppies
zebra danios is 1/2 of the total number of fish
2 times as many catfish as fancy guppies
x = guppies
2x = catfish
x + 2x = 1/2 of the fish population
3x = 1/2 of the fish population
3x * 2 = 6x
x = 1/6 number of fancy guppies
catfish:
2x = 2(1/6) = 2/6 = 1/3 catfish.
Jackson is correct. Catfish is 1/3 of the total fish population.
b. 5 boys, 15 girls
c. 16 boys, 4 girls
d. 4 boys, 16 girls
Which of the following equations is an example of the distributive property?
a. (5)(3) = (3)(5)
b. 5+3 = 3+5
c. (5)(1+2) = (5)(1) + (5)(2)
d. 15=15
Answers
thus, 4x + 1x = 20
5x = 20
thus, x = 20/5 = 4
thus, x = 4
and, 4x = 16
Thus, the answer is (C) 16 boys and 4 girls
2) According to distributivity, a(b+c) = ab + ac
Thus, the answer is (C)
5x=20
x=4 there are 16 girls and 4 boys
2.c
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Answer:
The correct answer is D.
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On the lower triangle we know two angles which added together make 110 degrees, which means that the third angle is 70 degrees. There is also a law that the opposite angles of a cross are the same. So the angle is 70degrees.
55°+55°=110°
180°-110°=70°
So the missing angle in bottom triangle is 70°.
x=70°
Because x with third angle in bottom triangle creates vertical angle.
:)
Answers
The diver's change in elevation in each interval is, 23
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A diver descends from an elevation of 6 feet below sea level to an elevation of 98 feet below sea level in 4 equal intervals.
Hence, The diver's change in elevation in each interval is,
⇒ (98 - 6) / 4
⇒ 92 / 4
⇒ 23
Thus, The diver's change in elevation in each interval is, 23
Learn more about the mathematical expression visit:
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92/4=23. This represents your equal intervals.
So the answer is that the diver dove in equal intervals of 23 ft.