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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 (
,
).

Respuesta :

CHERLYNnotCHERRY

Answer:

The value of x is 1.4 and y is -3.6

Step-by-step explanation:

The steps are :

[tex] - 9.5x - 2.5y = - 4.3 - - - (1)[/tex]

[tex]7x + 2.5y = 0.8 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex] - 9.5x + 7x - 2.5y + 2.5y = - 4.3 + 0.8[/tex]

[tex] - 2.5x = - 3.5[/tex]

[tex]x = \frac{7}{5} \: or \: 1.4[/tex]

[tex]substitute \: x = 1.4 \: into \: (2)[/tex]

[tex]7(1.4) + 2.5y = 0.8[/tex]

[tex]9.8 + 2.5y = 0.8[/tex]

[tex]2.5y = - 9[/tex]

[tex]y = - \frac{18}{5} \: or \: - 3.6[/tex]

beymaker250

Answer:

1.4,-3.6

Step-by-step explanation:

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