Question

How do I solve problems like these

Answer 1

First of all we need to find the equations of the lines :

y( red ) = - x + 2

y(blue) = 2x - 1

Then we must to put the equations equal to each other and going to to find the value of x :

`- x + 2 = 2x - 1`

Add both sides x

`- x + x + 2 = 2x + x - 1`

`2 = 3x - 1`

Add both sides 1

`2 + 1 = 3x - 1 + 1`

`3 = 3x`

Switch sides

`3x = 3`

Divide both sides by 3

`(3x)/(3) = (3)/(3) \\`

`x = 1`

After u the value of x , put it in one the equations to find the value of y :

`y = - x + 2`

`y = - (1) + 2`

`y = - 1 + 2`

`y = 1`

Thus the solution is ( 1 , 1 ) .