For solving each pair of equations, use the method of elimination by equating coefficients :
13x + 11y = 70
11x + 13y = 74

Question

For solving each pair of equations, use the method of elimination by equating coefficients : 2x + y = 3(x - 4)

KnowledgeBoat · Accepted Answer

Simplifying first equation : ⇒ ⇒ x - y = 12(4 - x) ⇒ x - y = 48 - 12x ⇒ x + 12x - y = 48 ⇒ 13x - y = 48 ⇒ 13x - y - 48 = 0 .......(1) Simplifying second equation : ⇒ 2x + y = 3(x - 4) ⇒ 2x + y = 3x - 12 ⇒ y + 2x - 3x + 12 = 0 ⇒ y - x + 12 = 0 .......(2) Adding equations (1) and (2), we get : ⇒ (13x - y - 48) + (y - x + 12) = 0 ⇒ 13x - x - y + y - 48 + 12 = 0 ⇒ 12x - 36 = 0 ⇒ 12x = 36 ⇒ x = = 3. Substituting value of x in equation (2), we get : ⇒ y - 3 + 12 = 0 ⇒ y + 9 = 0 ⇒ y = -9. Hence, x = 3 and y = -9.

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 2x + y = 3(x - 4)

Linear Equations

Related Questions

For solving each pair of equations, use the method of elimination by equating coefficients :
13x + 11y = 70
11x + 13y = 74

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 2x + y = 3(x - 4)

Linear Equations

Related Questions

For solving each pair of equations, use the method of elimination by equating coefficients :13x + 11y = 7011x + 13y = 74

For solving each pair of equations, use the method of elimination by equating coefficients :
13x + 11y = 70
11x + 13y = 74