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Solve the simultaneous
equations
2x+y = 3
x+y=1

Sagot :

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Answer:

x = 2, y = -1

Step-by-step explanation:

Now change the equation,

→ x + y = 1

→ y = 1 - x

Then the value of x will be,

→ 2x + y = 3

→ 2x + 1 - x = 3

→ x = 3 - 1

→ [ x = 2 ]

Therefore, the value of x is 2.

Now value of y will be,

→ y = 1 - x

→ y = 1 - 2

→ [ y = -1 ]

Hence, the value of y is -1.

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Answer:

(2, -1)

-------

x = 2

y = -1

Step-by-step explanation:

1st equation:

  • 2x + y = 3

rewrite

  • y = 3 - 2x

2nd equation:

  • x + y = 1

rewrite

  • y = 1 - x

Solve simultaneously:

  • y = y
  • 3 - 2x = 1 - x
  • -2x + x = 1 - 3
  • -x = -2
  • x = 2

When x = 2, y = 1 - x

                    y =  1 - 2

                    y = -1

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