X -y = 2
9x + 4y = 5

x=

y=

Answer

x= 1 , y = -1

Step by step

x -y = 2 (eqn 1)

9x + 4y = 5 (eqn 2)

Solve simultaneously using elimination method by multiplying eqn 2 by 4 to eliminate y.

x - y = 2 (eqn 1) × 4

4x - 4y = 8 (new eqn 1)

9x + 4y = 5 (eqn 2)

Add eqn 2 and new eqn 1  to eliminate y

4x + 9x - 4y + 4y = 8 + 5

13x = 13

Divide both sides by 13

13x/13 = 13/13

x = 1

Put x = 1 into eqn 1

x - y = 2

1 - y = 2

Subtract 1 from both sides

1 - 1 - y = 2 - 1

-y = 1

Divide both sides by -1

-y/-1 = 1/-1

y = -1

Therefore,

x = 1, y = -1

Checking

x - y = 2

1 - (-1) = 2

1 + 1 = 2

2 = 2

9x + 4y = 5

9(1) + 4(-1) = 5

9 - 4 = 5

5 = 5

Therefore x = 1, y = -1

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b.an increase in a causes b to decrease

the correct answer is the second option