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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Let x = number of long sleeve shirts
Let y = number of short sleeve shirts
x + y = 200
x/2 + y/3 = 80
Now solve this pair of simultaneous equations to find x and y.
Answer:
Cost of 3 buses = 9694820
cost of 1 bus=352750
cost of another bus=3029870
cost of the third bus= 9694820-(352750+3029870)=6312200
Answer:
AJ picks 252 pounds
Step-by-step explanation:
Lets define the following letters for each name:
A is AJ
B is Blaze
L is Laurence
J is Jack
Now we will analyze the phrases one by one:
Blaze picks three times as many as Laurence means:
Jack picks twice as many as Blaze.
, ans using the previous one lets substitute B with 3 * L
Aj picks three times as many as Laurence.
The total weight of the oranges is 1092 pounds.
We replace A, B & J in the last equation, with the previous results:
, grouping using L as common factor:
, then isolating L:
pounds (for Laurence)
Finally replacing L in the previous equations:
pounds (for Aj)
pounds (for Blaze)
pounds (for Jack)
Answer:
(−x)(16x2+1)
Step-by-step explanation:
−16x3−x
−16x3−x
=(−x)(16x2+1)
-16
