What is the solution to the system of equations? use any method. {3x+y=32x+y=7 {2x+y=7

x = 12  and  y = 1

Explanation:

Given equations are:

(1)  1 3 x − y = 3

(2) 2 x + y = 25

Multiply (1) by 3 to eliminate the fractional part,

(1)  x − 3 y = 9  ⇒ x = 9 + 3 y

let this be equation (3)

Now substitute this value of  

x

from (3) in equation (2),

(2)  2 ( 9 + 3 y ) + y = 25  ⇒ 18 + 6 y + y = 25  ⇒ 7 y = 25 − 18  ⇒ y = 7 7

Therefore,

y = 1

Substituting this value of  

y

in equation (3),

x = 9 + 3 × 1  

x = 9 + 3

Therefore,

x = 12

So we have the values of  

x  and  y  as,

x = 12

and  

y = 1

╦────────────────────────────╦

│Hope this helped  │    

│~Derelis │

╨╨                  

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.