Question

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

Answer 1

Answer:

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)

Answer 2

Answer:

x = 1, y = 2

Step-by-step explanation:

-5x + y = -3, we get y = 5x - 3.

Then plugs into the second equation, we get

-x - 5 (5x-3) = -11.

-x - 25x + 15 = -11,

-26x = -26

x = 1,

plugs x = 1 to y = 5x - 3, we get y = 2.