Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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16 can be expressed as a difference of two prime numbers in two ways, which
is:23 - 7 = 16, 19 - 3 = 16
Among the choices, 16 is expressed as (23 - 7), which is the difference of two prime numbers.
Answer:
Step-by-step explanation:
Answer:
4 13/15
Step-by-step explanation:
4 1/5 + 2/3
4 3/15+ 10/15
4 13/15
Answer:
7 1/5 pounds in each basket
Step-by-step explanation:
Original pounds of onion = 9 3/5
New pounds of onion = 4 4/5
The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions
Total onions = Original pounds of onion + New pounds of onion
= 9 3/5 + 4 4/5
= 48/5 + 24/5
= 48+24/5
= 72 / 5 pounds
How many pounds of onions does each basket contain?
Pounds in each basket = Total pounds /2 basket
= 72/5 ÷ 2
= 72/5 × 1/2
= 72 / 10
= 7 2/10
= 7 1/5 pounds in each basket
