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ololo11 [35]
3 years ago
6

What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and

5x-2y=6
Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

(x,y) = (2,-2)

The equations

7x + 9y = ?

5x - 2y = ?

Dimitri's Solution

Equation\ 1: 7x + 9y = -4.

7(2) + 9 (-2) = -4.

14 + (-18) = -4.

-4 = -4.

Equation\ 2: 5x -2y = 6.

5(2) - 2 (-2) = 6.

10 - 4 = 6.

6 = 6.

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

5x - 2y

and

(x,y) = (2,-2)

Substitute x = 2 and y = -2

So, we have:

5(2) -2(-2)

Open bracket

10 +4

Finally, we have:

14

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