Use the elimination method to solve the system of equations. choose the
correct ordered pair.
5x - 2y = 9
3x + 4y = -5
a. (5,5)
b. (3,3)
c. (1,-2)
d. (7.13)

Option C

The correct ordered pair is (1, -2)

Solution:

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

Substitute x = 1 in eqn 1

5x - 2y = 9

5(1) - 2y = 9

5 - 2y = 9

2y = -4

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

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

a

step-by-step explanation: