Solve the system of equations:
x+y=6
3x−5y=2

x=4, y=2

Step-by-step explanation:

x+y=6

3x−5y=2

Multiply the first equation by 5

5(x+y)=6*5

5x+5y = 30

Add this to the second equation

5x+5y = 30

3x -5y = 2

8x    = 32

Divide each side by 8

8x/8 = 32/8

x = 4

Now we need to find y

x+y =6

4+y =6

Subtract 4 from each side

4+y-4 =6-4

y = 2

english, cause i can’t you

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,