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marusya05 [52]
3 years ago
6

When using the substitution method what is the system of equations x+y=5 6x+3y=27

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

9514 1404 393

Answer:

  y = 5 -x

  6x +3(5 -x) = 27

Step-by-step explanation:

The first equation is conveniently solved for either x or y. If we solve it for y, we get ...

  y = 5 - x . . . . . . subtract x from both sides

This expression for y can be substituted into the second equation to give ...

  6x +3(5 -x) = 27

These are your new system of equations.

Simplified, they are ...

  • y = 5 -x
  • 3x +15 = 27

_____

The second is a 2-step equation that gives the value of x, which can then be used in the first equation to find y.

  3x = 12 . . . . subtract 15

  x = 4 . . . . . . divide by 3

  y = 5 -4 = 1 . . . . substitute into the first equation

The solution is (x, y) = (4, 1).

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