Mathematics: -5x + y = -3 and –x - 5y = - 11 by substitution

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-5x + y = -3 and –x - 5y = - 11 by substitution

maggiemae4993

10.02.2022

Required Answer:--5x+y=-3---------------(1)-x-5y=-11----------------(2)

From eq (1)

${:}\longrightarrow$ $\sf -5x+y=-3$

${:}\longrightarrow$ $\sf y=-3+5x$

${:}\longrightarrow$ $\sf y=5x-3\dots\dots (3)$

Substitute the value in eq (2)

${:}\longrightarrow$ $\sf -x-5 (5x-3)=-11$

${:}\longrightarrow$ $\sf -x-25x+15=-11$

${:}\longrightarrow$ $\sf -26x=-11-15$

${:}\longrightarrow$ $\sf -26x=-26$

${:}\longrightarrow$ $\sf x={\dfrac {-26}{-26}}$

${:}\longrightarrow$ $\sf x=1$

Substitute the value in eq (3)

${:}\longrightarrow$ $\sf y=5x-3$

${:}\longrightarrow$ $\sf y =5 (1)-3$

${:}\longrightarrow$ $\sf y=5-3$

${:}\longrightarrow$ $\sf y=2$

$\therefore$ (x,y)=(1,2)

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