Question

Please hurry I need to get this done HURRY!!!!!!!

Use the linear combination method to solve the system of equations.

–2.1x + 4y = 5.3

2.1x – 5.5y = –0.2

What is the solution to the system?

(, )

Answer 1

The solution to the system of equations is:

`x = -9`,
`y=-3.4`

Explanation:

Given the system of equations

-2.1x + 4y = 5.3

2.1x - 5.5y = -0.2

Solving the system of equations using the linear combination method

`\begin{bmatrix}-2.1x+4y=5.3\\ 2.1x-5.5y=-0.2\end{bmatrix}`

adding the equations

`2.1x-5.5y=-0.2`

`+`

`\underline{-2.1x+4y=5.3}`

`-1.5y=5.1`

solving -1.5y = 5.1 for y

`-1.5y=5.1`

Divide both sides by -1.5

`(-1.5y)/(-1.5)=(5.1)/(-1.5)`

`y=-3.4`

substitute y = -3.4 in 2.1x - 5.5y = -0.2

2.1x - 5.5y = -0.2

2.1x - 5.5(-3.4) = -0.2

2.1x + 18.7 = -0.2

2.1x = -0.2-18.7

2.1x = -18.9

Divide both sides by 2.1

`\:(2.1x)/(2.1x)\:\:=\:\:(-18.9)/(2.1)`

`x = -9`

Therefore, the solution to the system of equations is:

`x = -9`,
`y=-3.4`