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.

Answer 1

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

Answer 2

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.