Solve the following system -3x plus y equals 3 2x plus y equals -2?

Answer 1

Answer:

x = -1/5 = -0.2,

y=12/5 = 2.4

Solution:

-3 x + y = 3 .................................(Equation 1)

2 x + y = 2 .................................(Equation 2)

Find Equation 1 - Equatin 2 :

-3 x + y = 3

-

2 x + y = 2

_______________

-5 x + 0 = 1

-5 x = 1

x = 1/-5

x = -1/5

substitute the value of x in equation 1:

- 3 * -1/5 + y = 3

3/5 + y = 3

y = 3 - 3/5

y = 15/5 - 3/5

y= 12/5

Checking:

Check the answer in equation 2 for example:

2 x + y = 2

2 * -1/5 + 12/5 =? 2

-2/5 + 12/5 = 10/5 =? 2

Yes!

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