Answer:
The solution to the system of equations is:
x = 2, and y = -1
Explanation:
Given the pair of equations:
4x + 5y = 3 ..........................................................................(1)
2x + 3y = 1............................................................................(2)
To solve this by elimination:
Multiply equation (2) by 2, to eliminate x
Equation (2) becomes
4x + 6y = 2 .........................................................................(3)
Subtract equation (1) from (3)
4x - 4x + 6y - 5y = 2 - 3
y = -1 ....................................................................................(4)
Multiply equation (1) by 3 and equation (2) by 5 to eliminate y
Equation (1) becomes
12x + 15y = 9 .......................................................................(5)
Equation (2) becomes
10x + 15y = 5 ........................................................................(6)
Subtract equation (6) from (5)
12x - 10x + 15y - 15y = 9 - 5
2x = 4
Divide both sides by 2
x = 4/2 = 2 ............................................................................(7)
From equations (7) and (4)
x = 2, and y = -1
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct
Answer:
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
Step-by-step explanation:
These are the steps Diego should follow to find 4 1/5 - 7/10:
Step 1: Convert all mixed numbers into improper fractions.
4 1/5 = 21/5 - 7/10
Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.
21/5 = 42/10 - 7/10
Step 3: Add or subtract the numerators and keep the denominator the same.
42 - 7 = 35/10
Step 4: If the answer is an improper form, reduce the fraction into a mixed number.
35/10 = 3 5/10 = 3 1/2
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
Answer:
b i think
Step-by-step explanation:
