Answer:
x= 0, y= -1
Step-by-step explanation:
To obtain the values of x and y from a system of equations, start by labelling the given equations.
8x +5y= -5 -----(1)
7x -3y= 3 -----(2)
Let's solve by elimination.
Here, I will be working to eliminate the y term. This is done by ensuring both equations have the same numerical value in the coefficient of y.
(1) ×3:
24x +15y= -15 -----(3)
(2) ×5:
35x -15y= 15 -----(4)
Add the two equations together since the coefficient of y has opposite signs.
(3) +(4):
24x +15y +35x -15y= -15 +15
59x= 0
Divide both sides by 59:
x= 0
Now, substitute the value of x into any equations to find the value of y.
Substitute x= 0 into (1):
8(0) +5y= -5
5y= -5
Divide both sides by 5:
y= -5 ÷5
y= -1
Additional:
For similar questions on system of equations, do check out the following!
Answer:
Number of student bring their lunch = 60
Step-by-step explanation:
Given:
Total number of student = 600
Student bring their lunch = 10%
Find:
Number of student bring their lunch
Computation:
Number of student bring their lunch = Total number of student x Student bring their lunch
Number of student bring their lunch = 600 x 10%
Number of student bring their lunch = 60
Option C) 125n is the expression that does not represent “increase a quantity n by 25%
<u>Step-by-step explanation:</u>
The given expressions are for the quantity n which is increased by 25%.
- Let us consider that n = 100.
- The increase of n by 25 % is equal to 125.
- Check for each options by substituting n=100 and the expression gives 125 or not.
- Check which option does not represent the condition (increase of n by 25%)
<u>Option A) n + 0.25n </u>
Put n = 100,
⇒ 100 + 0.25(100)
⇒ 100 + 25
⇒ 125
So, option A) represents the given condition.
<u>Option B) (1 + 0.25)n</u>
Put n = 100,
⇒ (1+0.25) 100
Multiply 100 with each terms inside the bracket.
⇒ 100 + 25
⇒ 125
So, option B) represents the given condition.
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<u>Option C) 125n</u>
Put n = 100,
⇒ 125 × 100
⇒ 12500
So, option C) does not represents the given condition.
<u>Option D) 1 1/4 n</u>
Put n = 100,
Convert the mixed fraction to proper fraction
⇒ (5/4) n
⇒ (5/4) 100
⇒ 500 / 4
⇒ 125
So, option D) represents the given condition.
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Answer:
9, 14, 19, 24, 29
Step-by-step explanation:
1) 5 x 1 = 5
5 + 4 = 9
2) 2 x 5 = 10
10 + 4 = 14
Now we know the first 2, we can use the difference to help us, the difference is +5
The side lengths of the cube are 8cm. I found this answer by taking the cube root of 512.
