Question

Solve by substitution Answer Now

Answer 1

Equation 1)  y=2x
Equation 2)  y=x + 1

Rearrange the equations so that x and y are on the same side.

1)   -2x+y=0
2)   -x+y=1

Subtract equations with each other.

Now you have: -x=-1

x=1

Plug in x.

y=2(1)
y=2

(1,2)

~Hope I helped!~

Answer 2

The answer is:  (1, 2) .
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Explanation:
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Given:

y = 2x ; 

y = x + 1;   Solve for "x and y" ;  Write the solution as an "ordered pair".
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Start with:   y = x + 1 ; 

Since:  y = 2x ; Substitute "2x" for "y" ; in the equation:  y = x + 1 ;
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→   2x = x + 1 ;  Subtract "1" ; and subtract "x" ; from each side ;
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          →   2x − 1 − x = x + 1 − 1 - x ; 
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          →   1x  − 1  = 0 ;  ↔  x  − 1  = 0 ;  Add "1" to each side of the                                                                          equation ;
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             →   x  − 1  + 1  =  0 + 1  ;
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to get:    →   x = 1  . 
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 Now that we know that  " x = 1 " ; we can solve for "y" ;  using either (or both!) of 2 (TWO) methods.  Let's us both methods — for demonstration purposes—and to confirm that "y" is the same value when "x = 1" (as extra assurance that "x = 0" makes sense!) ; 
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 1)  y = 2x  ;   so, when "x = 1"; what does "y" equal?  

          → Plug in "1" for "x" ; and solve for "y" ;
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          →  y = 2*(1) = 2 .   So, x = 1; y = 2 . 
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2)   y = x + 1;  so, when "x = 1"; what does "y" equal?  

          → Plug in "1" for "x" ; and solve for "y" ;
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 → y = 1 + 1 = 2 .   So, x = 1 ; y = 2 . 
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   → We write this answer as an "ordered pair"; that is:  
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                   The answer is:  (1, 2) .
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