Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
Answer:
45
Step-by-step explanation:
1/6 of 54= 9
9*5=45
Answer:
the solution of linear equation 4b + 6 = 2 - 6 + 4 is b = -2
Step-by-step explanation:
We need to solve the linear equation
4b + 6 = 2 - 6 +4
Adding constants
4b + 6 = 0
Adding -6 on both sides
4b + 6 -6 = 0 -6
4b = -6
Dividing with 4 on both sides
4b/4 = -6/4
b = -2
So, the solution of linear equation 4b + 6 = 2 - 6 + 4 is b = -2
An ISOSCELES triangle has two sides equal, and two base angles are also equal.
The two sides on the left and the right are equal. The right side measures 11 inches, therefore the left side also measures 11 inches.
The correct answer option is 11 inches
There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:
- A.S + A.F + E.U + A.M = 177
- A.S = A.F + E.U + 69
- E.U - A.M = 13
- E.U = A.M + 13
- 2A.F = E.U + A.M + 29
- A.F + E.U + 69 + A.F + E.U + A.M = 177
- A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
- 2A.F + 3A.M = 177 - 13 - 13 - 69
- E.U + A.M + 29 + 3A.M = 82
- A.M + 13 + A.M + 29 + 3A.M = 82
- 5A.M = 82 - 13 - 29
- A.M = 40/5
- A.M = 8
- E.U = 8 + 13 = 21
- A.F = (21 + 29) / 2 = 25
- A.S = 177 - 25 - 21 - 8 = 123
Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
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