Question

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Solve it
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Solve it
Solve it
Solve it
Solve it
Solve it
Solve it
Solve it
Solve it
Solve it

Answer 1

(0,0)

Explanation:

y = 0

2x + 3y = 5x - y Substitute 0 for y

2x + 3(0) = 5x - 0

3x = 5x Subtract 3x from both sides

3x -3x = 5x - 3x

0 = 2x Divide both sides by 2

0 = x

Check

2(0) + 3(0) = 5(0) - 0

0 = 0

Answer 2

(0,0)

Explanation:

2x + 3y = 5x - y

First, solve for x.

Subtract 2x from both sides.

3y = 5x - 2x - y

3y = 3x - y

Subtract y from both sides.

3y - y = 3x

2y = 3x

Divide both sides by 2.

y = 1.5x

A solution to the equation is given as,

( x , 0 ) ⇒ ( x , y )

Now substitute y with 0 and find the value of x.

0 = 1.5x

divide both sides by 0.

0 = x