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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3.22 divided by 14 is .23. .23 plus .15 is .38 cents per candy at regular price.
Answer:
15 inches
Step-by-step explanation:
Volume of a squre based pyramid :
V = a²(h/3)
a = base edge ; h = height
h =1/2 a
V = 4500
4500 = a² * (1/2a) ÷ 3
4500 = a² * a/2 * 1/3
4500 = a³/2 * 1/3
4500 = a³ / 6
27000 = a³
27000 = a³
Take the cube root of both sides
(27000)⅓ = a
30 = a
Recall:
h = 1/2a
h = 1/2(30)
h = 15 inches
