lve these pairs of simultane 2x+y=1 and y=x-5

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lve these pairs of simultane  2x+y=1 and  y=x-5

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Express y in terms of x: Step Title: Express y from the first equation Concise Step Description: Express y in terms of x using the first equation. Step Calculation: From the equation 2x + y = 1, we can isolate y by subtracting 2x from both sides, giving us y = 1 - 2x. Step Output: y = 1 - 2xSubstitute y in equation: Step Title: Substitute y in the second equation Concise Step Description: Substitute the expression for y from the first equation into the second equation. Step Calculation: Replace y in the second equation y = x - 5 with the expression from the first equation, giving us 1 - 2x = x - 5. Step Output: 1 - 2x = x - 5Solve for x: Step Title: Solve for x Concise Step Description: Solve the resulting equation for x. Step Calculation: Add 2x to both sides and add 5 to both sides to get 1 + 5 = x + 2x, which simplifies to 6 = 3x. Divide both sides by 3 to find x = 2. Step Output: x = 2Solve for y: Step Title: Solve for y using the value of x Concise Step Description: Substitute the value of x back into the expression for y to find the value of y. Step Calculation: Substitute x = 2 into y = 1 - 2x to get y = 1 - 2(2), which simplifies to y = 1 - 4, giving us y = -3. Step Output: y = -3

Solve these pairs of simultaneous equations: $\newline$ $2x + y = 1$ and $\newline$ $y = x - 5$

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Solve these pairs of simultaneous equations: $\newline$ $2x + y = 1$ and $\newline$ $y = x - 5$