Question

Solve this system of equations byusing the elimination method.-3x + 8y = 43x – 2y = 8( [?]-==

Answer 1

Given:

The system of eqations is:

-3 x + 8y = 4

3 x - 2y =8

Reuired:

To find the solutions of x and y in the form of ordered pairs.

Step-by-step explanation:

The system of equations is:

-3 x + 8y = 4 .......(1)

3 x - 2y =8 .........(2)

To eliminatet x add both equation (1) and (2).

`\begin{gathered} \left(-3x+3x\right)+(8y-2y)=(4+8) \\ 6y=12 \\ y=(12)/(6) \\ y=2 \end{gathered}`

Now substitute the value of y in equation (1) and get the value of x.

`\begin{gathered} -3x+8(2)=4 \\ -3x+16=4 \\ -3x=4-16 \\ -3x=-12 \\ 3x=12 \\ x=(12)/(3) \\ x=4 \end{gathered}`

Final Answer:

Thus the values of x and y in the form of ordered pair is (4,).