Question

Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.

1. Determine which variable will be eliminated:  y will be eliminated because –2.5y and 2.5y are opposite terms.

2. Add the equations together to create a one-variable linear equation:   –2.5x = –3.5

3. Solve to determine the unknown variable in the equation:        x = 1.4

4. Substitute the value of the variable into either original equation to solve for the other variable.

The solution to the system is (
,
).

Answer 1

1.4,-3.6

Explanation:

Answer 2

The value of x is 1.4 and y is -3.6

Explanation:

The steps are :

`- 9.5x - 2.5y = - 4.3 - - - (1)`

`7x + 2.5y = 0.8 - - - (2)`

`(1) + (2)`

`- 9.5x + 7x - 2.5y + 2.5y = - 4.3 + 0.8`

`- 2.5x = - 3.5`

`x = (7)/(5) \: or \: 1.4`

`substitute \: x = 1.4 \: into \: (2)`

`7(1.4) + 2.5y = 0.8`

`9.8 + 2.5y = 0.8`

`2.5y = - 9`

`y = - (18)/(5) \: or \: - 3.6`