What is 2 x/a+y/b =2, x/a-y/b =4 ?

The solution to 2 x/a+y/b =2, x/a-y/b =4 is x=2a,y=-2b,\quad b\ne 0,a\ne 0

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2 x/a+y/b =2, x/a-y/b =4

2 \frac{x}{a} + \frac{y}{b} = 2, \frac{x}{a} - \frac{y}{b} = 4

x = 2 a, y = - 2 b, b \neq = 0, a \neq = 0

Solution steps

[2 \cdot \frac{x}{a} + \frac{y}{b} = 2 \frac{x}{a} - \frac{y}{b} = 4]

Isolate

x

for

2 \frac{x}{a} + \frac{y}{b} = 2 : x = \frac{2 ab - a y}{2 b}; a \neq = 0

Substitute

x = \frac{2 ab - a y}{2 b}

[\frac{\frac{2 ab - a y}{2 b}}{a} - \frac{y}{b} = 4]

Simplify

[\frac{2 b - 3 y}{2 b} = 4]

Isolate

y

for

\frac{2 b - 3 y}{2 b} = 4 : y = - 2 b; b \neq = 0

For

x = \frac{2 ab - a y}{2 b}

Substitute

y = - 2 b

x = \frac{2 ab - a ( - 2 b )}{2 b}

Simplify

\frac{2 ab - a ( - 2 b )}{2 b} : 2 a

x = 2 a

The solutions to the system of equations are:

x = 2 a, y = - 2 b, b \neq = 0, a \neq = 0

5 x + y = 4, x = 2 y + 3

\frac{( x + 3 )}{2} - \frac{( y - 1 )}{3} = 1, \frac{( x + y )}{5} = 1

f (y, x, h) y = 2, 3 x - 53 h y = - 1, 4 x + 23 j y = 23 x - 113

2 x + 4 y = 34, 5 x + 4 y = 37

2 x + 2 y = 1, 3 - x + 4 y = 6

What is 2 x/a+y/b =2, x/a-y/b =4 ?
The solution to 2 x/a+y/b =2, x/a-y/b =4 is x=2a,y=-2b,\quad b\ne 0,a\ne 0