Solution of equations x - 2y = 7 and 2x - y = 8 is :
x = 3, y = 2
x = -3, y = 2
x = 3, y = -2
x = -3, y = -2

Question

Solution of equations x - 2y = 7 and 2x - y = 8 is : 1. x = 3, y = 2 2. x = -3, y = 2 3. x = 3, y = -2 4. x = -3, y = -2

KnowledgeBoat · Accepted Answer

Given, Equations : x - 2y = 7 and 2x - y = 8. ⇒ x - 2y = 7 ⇒ x = 7 + 2y ........(1) Substituting value of x from equation (1) in 2x - y = 8, we get : ⇒ 2(7 + 2y) - y = 8 ⇒ 14 + 4y - y = 8 ⇒ 3y = 8 - 14 ⇒ 3y = -6 ⇒ y = = -2. Substituting value of y in equation (1), we get : ⇒ x = 7 + 2 × -2 = 7 - 4 = 3. Hence, Option 3 is the correct option.

Mathematics

Solution of equations x - 2y = 7 and 2x - y = 8 is :
x = 3, y = 2
x = -3, y = 2
x = 3, y = -2
x = -3, y = -2

Linear Equations

Related Questions

Solution of equations x + y = 2.1 and x - y = 0.3 is :
x = 1.2, y = 0.9
x = 1.2, y = -0.9
x = -1.2, y = 0.9
x = -1.2, y = -0.9

Mathematics

Solution of equations x - 2y = 7 and 2x - y = 8 is :x = 3, y = 2x = -3, y = 2x = 3, y = -2x = -3, y = -2

Linear Equations

Related Questions

Solution of equations x + y = 2.1 and x - y = 0.3 is :x = 1.2, y = 0.9x = 1.2, y = -0.9x = -1.2, y = 0.9x = -1.2, y = -0.9

Solution of equations x - 2y = 7 and 2x - y = 8 is :
x = 3, y = 2
x = -3, y = 2
x = 3, y = -2
x = -3, y = -2

Solution of equations x + y = 2.1 and x - y = 0.3 is :
x = 1.2, y = 0.9
x = 1.2, y = -0.9
x = -1.2, y = 0.9
x = -1.2, y = -0.9