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For each ordered pair, determine whether it is a solution to the system of equations.-3x+2y=14x-5y=8

For each ordered pair, determine whether it is a solution to the system of equations-example-1
User Antoine Brunel
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1 Answer

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17 votes

The given equations are

- 3x + 2y = 1

4x + 5y = 8

We would substitute each value of x and y into the equations. We have

1) For x = 3 and y = 5

- 3* 3 + 2 *5 = 1

- 9 + 10 = 1

For the second equation,

4*3 - 5*5 = 8

12 - 25 = - 13

This is not a solution

2) For x = 2 and y 0

3* 2 + 2 *0 = 1

- 6 + 0 = 1

- 6 = 1

This is not a solution

For the third equation,

x = - 6, y = 2

- 3 * - 6 + 2 * 2 = 1

18 + 4 = 1

This is not a solution

For the 4th equation,

x = - 3, y = - 4

- 3 * - 3 + 2 * - 4 = 1

9 - 8 = 1 = 1

For the second equation,

4 * - 3 - 5 * - 4 = 8

- 12 + 20 = 8

8 = 8

This is a solution

Thus, the correct ordered pair is (- 3, - 4

User Guimareshh
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