Question

1/3x+y + 1/3x-y =3/4 and
1/2(3x+y) - 1/2(3x-y)= -1/8
by substitutions method
step by step EXPLANATION plz urgent​

Answer 1

Answer:

we're asked to solve this system of equations.

3x+y = -3

x= -y+3

the second equation is solved for X, so we can substitute the expression -y +3 in for X in the first equation :

3x + y = -3

3(-y + 3 ) + y = -3

-3y +9 +y = -3

-2y = -12

y = 6

plugging this value back into one of our original equations , say X = -y + 3 , we solve for the other variable ,

X = -y +3

X = -(6) + 3

X = -3

the solution to the system of equations

X = -3, y=6

we can check our work by plugging these numbers back into the original equations,

lat's try

3x + y = -3

3(-3) + 6 = -3

-9 + 6 = -3

-3 = -3

yes , ous solution checks out.