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

9514 1404 393

Answer:

(x, y) = (1.4, -3.6)

Explanation:

4. We choose to substitute into the second equation because it has positive coefficients.

7(1.4) +2.5y = 0.8

9.8 +2.5y = 0.8 . . . . simplify

2.5y = -9.0 . . . . . . . subtract 9.8

y = -3.6 . . . . . . . . . . divide by 2.5

The solution to the system is (x, y) = (1.4, -3.6)