If 2x + y = 32 and 3x + 4y = 68, find the value of .

Given, Equations : 2x + y = 32 .........(1), 3x + 4y = 68 .........(2) Multiplying equation (1) by 4, we get : ⇒ 4(2x + y) = 32 × 4 ⇒ 8x + 4y = 128 .........(3) Subtracting equation (2) from (3), we get : ⇒ 8x + 4y - (3x + 4y) = 128 - 68 ⇒ 8x + 4y - 3x - 4y = 60 ⇒ 5x = 60 ⇒ x = ⇒ x = 12. Substituting value of x in equation (2), we get : ⇒ 3x + 4y = 68 ⇒ 3 × 12 + 4y = 68 ⇒ 36 + 4y = 68 ⇒ 4y = 68 - 36 ⇒ 4y = 32 ⇒ y = ⇒ y = 8. Substituting value of x and y in , we get : . Hence, .

Solve the following simultaneous equations:
23x − 29y = 98, 29x − 23y = 110

View Answer Bookmark Now

Solve the following system of equations by using the method of cross multiplication:
2x − 5y + 8 = 0, x − 4y + 7 = 0

View Answer Bookmark Now

Mathematics

If 2x + y = 32 and 3x + 4y = 68, find the value of .

Linear Equations

Related Questions

Solve the following simultaneous equations:
23x − 29y = 98, 29x − 23y = 110

Solve the following system of equations by using the method of cross multiplication:
2x − 5y + 8 = 0, x − 4y + 7 = 0

Mathematics

If 2x + y = 32 and 3x + 4y = 68, find the value of .

Linear Equations

Related Questions

Solve the following simultaneous equations:23x − 29y = 98, 29x − 23y = 110

Solve the following system of equations by using the method of cross multiplication:2x − 5y + 8 = 0, x − 4y + 7 = 0

Solve the following simultaneous equations:
23x − 29y = 98, 29x − 23y = 110

Solve the following system of equations by using the method of cross multiplication:
2x − 5y + 8 = 0, x − 4y + 7 = 0