Question

Use substitution to solve the system.

3x + 5y = 23
x = 3y - 11​

Answer 1

x=1, y=4

Explanation:

Substitute x = 3y - 11

3(3y - 11) + 5y = 23 |

Simplify

|14y – 33= 23 |

Isolate y for 14y-33=23

y=4

For x =3y - 11

Substitute y = 4

X=3• 4- 11

Simplify

X=1,

Answer 2

(1,4)

Explanation:

Since x is already "alone", you can plug 3y-11 into the x-value for the first equation to get 3(3y-11)+5y=23. Now distribute 3 to the numbers in the parentheses. In the end, the solution to this is (1,4).