Solve: ax + by = a - b bx - ay = a + b

Given: ax + by = a - b ...................(1) bx - ay = a + b ...................(2) Multiplying equation (1) by b: (ax + by = a - b) x b ⇒ abx + b2y = ab - b2 ...................(3) Multiplying equation (2) by a: (bx - ay = a + b) x a ⇒ abx - a2y = a2 + ab ...................(4) Subtract Equation (4) from Equation (3), ⇒ y = -1 Substituting the value of y in equation (3), we get: ⇒ abx + b2(-1) = ab - b2 ⇒ abx - b2 = ab - b2 ⇒ abx = ab ⇒ x = = 1 Hence, x = 1 and y = -1.

Evaluate :
(a - b)³ + (b - c)³ + (c - a)³ by writing answer in factors form.

View Answer Bookmark Now

Evaluate and write the answer in factors form :
(3a - 2b)³ + (2b - 5c)³ + (5c - 3a)³

View Answer Bookmark Now

Solve:
ax + by = c
bx + ay = 1 + c

View Answer Bookmark Now

Solve :
0.04x + 0.02y = 5
and 0.5(x - 2) - 0.4y = 29

View Answer Bookmark Now

Mathematics

Solve:
ax + by = a - b
bx - ay = a + b

Linear Equations

Related Questions

Evaluate :
(a - b)³ + (b - c)³ + (c - a)³ by writing answer in factors form.

Evaluate and write the answer in factors form :
(3a - 2b)³ + (2b - 5c)³ + (5c - 3a)³

Solve:
ax + by = c
bx + ay = 1 + c

Solve :
0.04x + 0.02y = 5
and 0.5(x - 2) - 0.4y = 29

Mathematics

Solve:ax + by = a - bbx - ay = a + b

Linear Equations

Related Questions

Evaluate :(a - b)3 + (b - c)3 + (c - a)3 by writing answer in factors form.

Evaluate and write the answer in factors form :(3a - 2b)3 + (2b - 5c)3 + (5c - 3a)3

Solve:ax + by = cbx + ay = 1 + c

Solve :0.04x + 0.02y = 5and 0.5(x - 2) - 0.4y = 29

Solve:
ax + by = a - b
bx - ay = a + b

Evaluate :
(a - b)³ + (b - c)³ + (c - a)³ by writing answer in factors form.

Evaluate and write the answer in factors form :
(3a - 2b)³ + (2b - 5c)³ + (5c - 3a)³

Solve:
ax + by = c
bx + ay = 1 + c

Solve :
0.04x + 0.02y = 5
and 0.5(x - 2) - 0.4y = 29