For solving each pair of equations, use the method of elimination by equating coefficients : 26x + 3y + 4 = 0

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Simplifying first equation : ⇒ ⇒ 4(x - 2) = 5(1 - y) ⇒ 4x - 8 = 5 - 5y ⇒ 4x + 5y - 8 - 5 = 0 ⇒ 4x + 5y - 13 = 0 .......(1) ⇒ 26x + 3y + 4 = 0 .......(2) Multiplying equation (1) by 3, we get : ⇒ 3(4x + 5y - 13) = 0 ⇒ 12x + 15y - 39 = 0 .......(3) Multiplying equation (2) by 5, we get : ⇒ 5(26x + 3y + 4) = 0 ⇒ 130x + 15y + 20 = 0 .......(4) Subtracting equation (3) from (4), we get : ⇒ 130x + 15y + 20 - (12x + 15y - 39) = 0 ⇒ 130x - 12x + 15y - 15y + 20 - (-39) = 0 ⇒ 118x + 59 = 0 ⇒ 118x = -59 ⇒ x = Substituting value of x in equation (1), we get : Hence, and y = 3.

Mathematics

For solving each pair of equations, use the method of elimination by equating coefficients : 26x + 3y + 4 = 0

Linear Equations

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