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

9514 1404 393

  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 ...

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).

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: