Question

mx - ny = m^2 + n^2

x + y = 2m

by substitution method

Answer 1

Answer value of x is (m + n) and value of y is (m - n)

Step-by-step explanation:

SOLUTION

Given,

mx - ny = m² + n²

x + y = 2m

Find,

the value of x and y.

SO,

mx - ny = m² + n²

mx = m² + n² + ny

x = m² + n² + ny/m

Let x be (m² + n² + ny/m)

x + y = 2m

=> (m² + n² + xy/m) + y = 2m

=> m² + n² + xy + ym/m = 2m

=> m² + n² + y(m + n) = 2m²

=> y(m + n) = 2m² - m² - n²

=> y(m + n) = m² - n²

=> y(m + n) = (m - n)(m + n)

=> y = (m -n)(m + n)/m + n

=> y = m - n

x = m² + n² + xy/m

=> x = m² + n² + x(m -n)/m

=> x = m² +.n² + mn -n²/m

=> x = m² + mn/m

=> x = m(m + n)/m

=> x = m + n

Hence,

the value of x is (m + n) and value of y is (m - n)

Answer 2

Step-by-step explanation:

mx - ny = m^2 + n^2

x + y = 2m

by substitution method