Question

(5) 5x + 2y = -3; x + 5y = 4​

Answer 1

ANSWER:

• Value of x is (-1) and y is 1.

GIVEN:

• 5x+2y = (-3)
• x+5y = 4

TO FIND:

• Value of x and y.

SOLUTION:

=> 5x+2y = (-3). ......(i)

=> x+5y = 4. ....(ii)

Muntiplying eq(ii) by 5 we get;

=> 5(x+5y) = 5(4)

=> 5x+25y = 20 .....(iii)

Subtracting eq (I) from eq(iii)

=>( 5x+25y)-(5x+2y) = 20-(-3)

=> 5x-5x+25y-2y= 20+3

=> 23y = 23

=> y = 23/23

=> y = 1

Putting y = 1 in eq(i) we get;

=>5x+2(1)= -3

=> 5x+2 = -3

=> 5x = -3-2

=> x = -5/5

=> x = -1

Value of x is (-1) and y is 1.

Answer 2

Answer:

5x + 2y = –3 .....(I)

x + 5y = 4 .....(II)

Multiply (II) with 5 we get

5x + 25y = 20 .....(III)

Subtracting (III) from (I) we get

5x−5x+2y−25y=−3−20

⇒−23y=−23

⇒y=−23−23=1

Putting the value of y = 1 in (II) we get

x+5(1)=4⇒x+5=4⇒x=4−5=−1

Thus, (x, y) = (−1, 1)