Question

Find the values of x and y if :
(i) (x - 1. y + 3) = (4,4)
(ii) (3x + 1, 2y - 7) = (9,- 9)
(iii) (5x – 3y, y - 3x) = (4. - 4)​

Answer 1

Answer:

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Step-by-step explanation:

1. x−1=4⇒x=5

y+3=4⇒y=1

2. 3x+1=9 and 2y−7=−9

=>x=2 ³/2;y=−1

3. Given, (5x−3y,y−3x)=(4,−4)

Hence, 5x−3y=4 ----- equation (1)

and y−3x=−4 ----- equation (2)

Multiplying both sides of the equation (2) with 3 we get, 3y−9x=−12 ----- equation (3)

Adding equations (1) and (3), we get −4x=−8=>x=2

Substituting x=2 in the equation (2), we get y−3(2)=−4=>y=2

Hence, x=2;y=2

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Answer 2

1. x−1=4⇒x=5

y+3=4⇒y=1

2. 3x+1=9 and 2y−7=−9

=>x=2 ³/2;y=−1

3. Given, (5x−3y,y−3x)=(4,−4)

Hence, 5x−3y=4 ----- equation (1)

and y−3x=−4 ----- equation (2)

Multiplying both sides of the equation (2) with 3 we get, 3y−9x=−12 ----- equation (3)

Adding equations (1) and (3), we get −4x=−8=>x=2

Substituting x=2 in the equation (2), we get y−3(2)=−4=>y=2

Hence, x=2;y=2