For solving each pair of equations, use the method of elimination by equating coefficients : 3x - y = 23 = 4

Given equations : ⇒ 3x - y = 23 .........(1) ⇒ = 4 ......(2) Multiplying equation (1) by 3, we get : ⇒ 3(3x - y) = 3 × 23 ⇒ 9x - 3y = 69 .........(3) Multiplying equation (2) by 12, we get : ⇒ ⇒ 4x + 3y = 48 ...........(4) Adding equation (3) and (4), we get : ⇒ 9x - 3y + 4x + 3y = 69 + 48 ⇒ 13x = 117 ⇒ x = = 9. Substituting value of x in equation (1), we get : ⇒ 3 × 9 - y = 23 ⇒ 27 - y = 23 ⇒ y = 27 - 23 = 4. Hence, x = 9 and y = 4.

Solve the following pairs of linear (simultaneously) equations using method of elimination by substitution:
2(x - 3) + 3(y - 5) = 0
5(x - 1) + 4(y - 4) = 0

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Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 3x - y = 23 = 4

Linear Equations

Related Questions

Solve the following pairs of linear (simultaneously) equations using method of elimination by substitution:
2(x - 3) + 3(y - 5) = 0
5(x - 1) + 4(y - 4) = 0

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 3x - y = 23 = 4

Linear Equations

Related Questions

Solve the following pairs of linear (simultaneously) equations using method of elimination by substitution:2(x - 3) + 3(y - 5) = 05(x - 1) + 4(y - 4) = 0

Solve the following pairs of linear (simultaneously) equations using method of elimination by substitution:
2(x - 3) + 3(y - 5) = 0
5(x - 1) + 4(y - 4) = 0