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anzhelika [568]
3 years ago
7

Y=2x y=7x + 15 substitution

Mathematics
2 answers:
sergejj [24]3 years ago
7 0

y = 2x \\ y = 7x + 15

Substitute the given value of y into the equation y=7x+15

2x = 7x + 15

Move the variable to the left-hand side and change its sign

2x - 7x = 15

Collect like terms

- 5x = 15

Divide both sides of the equation by -5

x =  - 3

Substitute the given value of x into the equation y=2x

y = 2 \times ( - 3)

Solve the equation for y

y =  - 6

The possible solution of the system is the ordered pair (x,y)

(x,y) = ( - 3, - 6)

hodyreva [135]3 years ago
5 0

Answer:

y = -6 and x = -3

Step-by-step explanation:

 Data :

Eq 1 : y = 2x

Eq 2 : y = 7x + 15

So

  Take eq 1 and solve for x

  ⇒  x = y/2        eq 3

Put eq 3 in eq 2

 y =7 (y/2) +  15

   y - 7y/2 = 15

    ( 2y-7y )/2 = 15

   -5y/2 = 15

  -5y =30

y = -6

And  put value of y in eq 3 to find x

  x = -6/2

  x =-3

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