Question

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

Answer 1

Answer:

x=-1 and y =1

Step-by-step explanation:

5x+2y=-3 •••(1)

x+5y=4 ••••(2)

multiply equation (2) by 5

5x +25y=20 •••(3)

substract (1)and (3)

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

23y=23

y=1

put value of the y in equation (2)

x+5(1)=4

x+5=4

x=4-5

x= -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)