Mr.king picked up tomatoes from his garden and got 21 cups of chopped tomatoes. he used 5 1/2 cups of the tomatoes to make spagatti. he also used 2 1/4 cups of the tomatoes to make chilii. he seprated the remaining chopped tomatoes into 2 equals portions and froze them. how many cups of tomatoes were in each portion that he froze?ANSEWERS AVALIABLE
A, 3 7/8 C, 13 1/4
B, 5 5/8 D, 6 5/8

Final answer:

The ordered pair that is a solution to the linear system of equations, (2x + y = 5) and (x - y = 13), is (6, -7). The solution was found by using the elimination method.

Explanation:

You can solve this linear system by using the substitution or elimination method. Here, I will use the elimination method, which involves adding or subtracting the equations to eliminate one of the variables.

1. First, add the two equations together. (2x + y) + (x – y) equals 5 + 13. This simplifies to 3x = 18.
2. Second, divide both sides of the equation by 3 to solve for x. This gives x = 6.
3. Substitute this value back into either of the original equations. By substituting into the first equation, it becomes 2*6 + y = 5. Simplifying it, gives y = -7.

So the

ordered

pair that is a solution to the linear system is (6, -7).

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Answer:

The solution is {6, -7}.

Step-by-step explanation:

2x + y = 5

x – y = 13  Adding these 2 equations eliminates y:

3x + 0 = 18

x = 6.

Substituting for x in equation (1):

2(6) + y = 5

y = 5 - 12 = -7.

Answer:

-2, -6

The middle of both segments is R(-2, -6)

Answer:

C. 15

Step-by-step explanation:

A straight line equals 180°.

The angles are:

(6x + 10) +

(6x - 10)

+10 and -10, cancel each other out.

Now we are left with:

(6x) +

(6x)

6 + 6 = 12, so we have 12x

180° ÷ 12 = 15°

Answer: 15

Step-by-step explanation: