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inessss [21]
3 years ago
8

Use the elimination method to solve the system of equations. Choose the

Mathematics
2 answers:
STALIN [3.7K]3 years ago
6 0

Option C

The correct ordered pair is (1, -2)

<em><u>Solution:</u></em>

Given system of equations are:

5x - 2y = 9  ---- eqn 1

3x + 4y = -5 ----- eqn 2

We have to use elimination method to solve the system of equations

Multiply eqn 1 by 2

10x - 4y = 18 ---- eqn 3

Add eqn 2 and eqn 3

3x + 4y = -5

10x - 4y = 18

(+) -------------------

13x = 13

<h3>x = 1</h3>

<em><u>Substitute x = 1 in eqn 1</u></em>

5x - 2y = 9

5(1) - 2y = 9

5 - 2y = 9

2y = -4

<h3>y = -2</h3>

Thus the ordered pair (1, -2) Option C is correct

gtnhenbr [62]3 years ago
6 0

Answer:

x=1, y=-2. (1, -2).

Step-by-step explanation:

5x-2y=9

3x+4y=-5

---------------

2(5x-2y)=2(9)

3x+4y=-5

--------------------

10x-4y=18

3x+4y=-5

----------------

13x=13

x=13/13

x=1

5(1)-2y=9

5-2y=9

2y=5-9

2y=-4

y=-4/2

y=-2

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