Question

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

Answer 1

x = 2, y = -1

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.

Answer 2

(2, -1)

-------

x = 2

y = -1

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