Question

x^2 - y^2 = 150; x + y = 50
.x = ...... and y = ....​

Answer 1

Answer:

x²-y²=150,x+y=50

x=50-y ---------1

from 1

(50-y)²-y²=150

2500+y²-100y-y²=150

-100y=150-2500

100y=2350

y=23.5

x=50-y

x=50-23.5

x=26.5

Answer 2

Step-by-step explanation:

x+y=50 ........(1)

x^2 -y^2 =150

(x+y)(x-y)=150 ...by a^2-b^2=(a+b)(a-b)

now

50(x-y)=150 .....by equation (1)

so,

x-y=150÷50=3 .....(2)

add equation (1) and (2)

x+y+x-y=3+50

2x=53

×=53/2

y=47/2