Question

Solve the simultaneous equation
2x-5y=9
3x+4y=2

Answer 1

Answer/Step-by-step explanation:

2x-5y=9

Add 5y to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

`(2x)/(2) =(9)/(2) +(5y)/(2)`

Cancel the common factor of 2.

Divide x by 1.

`x=(9)/(2) +(5y)/(2)`

`y=(-9)/(5) +(2x)/(5)`

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3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

`(3x)/(3) =(2)/(3) +(4y)/(3)`

Cancel the common factor of 3.

Divide x by 1.

`x=(2)/(3) +(4y)/(3)`

`y=(-1)/(2) +(3x)/(4)`