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 - 3y - 3 = 0

KnowledgeBoat · Accepted Answer

Given, equations : ⇒ 2x - 3y - 3 = 0 .............(1) ⇒ .......(2) Simplifying second equation : Multiplying equation (1) by 2, we get : ⇒ 2(2x - 3y - 3) = 2 × 0 ⇒ 4x - 6y - 6 = 0 .........(4) Subtracting equation (4) from (3), we get : ⇒ 4x + 24y + 3 - (4x - 6y - 6) = 0 ⇒ 4x - 4x + 24y + 6y + 3 + 6 = 0 ⇒ 30y + 9 = 0 ⇒ 30y = -9 ⇒ y = . Substituting value of y in equation (1), we get : Hence, x = .

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 2x - 3y - 3 = 0

Linear Equations

Related Questions

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

For solving each pair of equations, use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 2x - 3y - 3 = 0

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 :41x + 53y = 13553x + 41y = 147

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

For solving each pair of equations, use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147