Question

-Solve the system of equations – X – 8y = 49 and —x – 2y = 7 by combining theequations.

Answer 1

x = 7

y = -7

Step-by-step explanation

Given:

- x - 8y = 49 ..........(equ 1)

- x - 2y = 7 ............(equ 2)

Desired Outcome

The values of x and y.

Multiply Equation 2 by -1

`equ\text{ 2}*-1\Rightarrow x+2y\text{ = -7 ............}(equ\text{ 3})`

Add Equation 1 with Equation 3

`\begin{gathered} -\text{ x - 8y = 49} \\ x\text{ + 2y = -7} \\ ------ \\ -6y\text{ = 42} \\ y\text{ = }(42)/(-6) \\ y\text{ = -7} \end{gathered}`

Solve for x from equation 3

`\begin{gathered} x\text{ + 2y = -7} \\ x\text{ + 2}(-7)\text{ = -7} \\ x\text{ - 14 = -7} \\ x\text{ = -7 + 14} \\ \text{x = 7} \end{gathered}`

Hence, the values of x and y are 7 and -7 respectively.