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.

Question

Mathematics

Kaia Cline

13 November, 22:47

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.

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Answers (2)

Know the Answer?

Kara White · Answer 1

(1.4, - 3.6). Given that x = 1.4, sibstitute that into one of the equations to get the value for y.

Danika Long · Answer 2

Step-by-step explanation:

The given equations are:

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

and 7x + 2.5y = 0.8 (2)

Adding equation (1) and (2) together, we get

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

⇒-2.5x=-3.5

⇒x=1.4

Now, substitute the value of x=1.4 in equation (1),

-9.5 (1.4) - 2.5y=-4.3

⇒-13.3-2.5y=-4.3

⇒-13.3+4.3=2.5y

⇒-9=2.5y

⇒y=-3.6

Thus, the value of x and y are 1.4 and - 3.6 respectively.