Question

Solve 5x − 6y = −38
3x + 4y = 0
Choices are:
A) (4,3)
B) (-4,3)
C) (4,-3)
D) (-4,-3)

Answer 1

(-3) *(5 x -6 y) =(-38) *(-3)
5 * (3 x +4 y ) = 0 * 5

You will have
-15 x +18 y = 114
15 x +20 y =0

you add  2 equations together
You will have  

38 y =114
y=3

Then you chance y =3 in equation 2,  you will have
3 x +4 *3 =0
3 x = -12
x =  - 4
You have x= -4 and y = 3 

(-4,3)

Answer 2

The solution to the equation is (3, -4)

Simultaneous equation

Given the system of equation

• 5x − 6y = −38 ....... 1 * 3
• 3x + 4y = 0 ...... 2 * 5

The equation will become:

15x - 18y = -114

15x + 20y = 0

Subtract

-18y - 20 y = -114

-38y = -114

y = 3

Since 3x + 4y = 0

3x + 4(3) = 0

3x + 12 = 0

3x = -12

x = -4

Hence the solution to the equation is (3, -4)

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