Question

Solve the following system of equations.
-2x + y = 10
4x - y = -14

Answer 1

Explanation:

Solution by substitution method

-2x+y=10

2x-y=-10

and 4x-y=-14

Suppose,

2x-y=-10→(1)

and 4x-y=-14→(2)

Taking equation (1), we have

2x-y=-10

⇒y=2x+10→(3)

Putting y=2x+10 in equation (2), we get

4x-y=-14

4x-1(2x+10)=-14

⇒4x-2x-10=-14

⇒2x-10=-14

⇒2x=-14+10

⇒2x=-4

⇒x=-2→(4)

Now, Putting x=-2 in equation (3), we get

y=2x+10

⇒y=2(-2)+10

⇒y=-4+10

⇒y=6

∴y=6andx=-2