Question

solve the following system of equation x+3y=8 (1)
x=3-3y(2)

Answer 1

I would substitute the second equation in for x in the first:
3-3y+3y=8
3=8
No solution

Answer 2

Thank you

Answer 3

x+3y=8(1)
x=3-3y(2)

Multiply 8 by each term inside the parentheses.
x+3y=8
x=3-3y(2)

Multiply -3y by each term inside the parentheses.
x+3y=8
x=3-6y

Since 3y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3y from both sides.
x=-3y+8
x=-6y+3

Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is -3y+8.
x=-3y+8
(-3y+8)=-6y+3

Remove the parentheses around the expression -3y+8.
x=-3y+8
-3y+8=-6y+3

Since -6y contains the variable to solve for, move it to the left-hand side of the equation by adding 6y to both sides.
x=-3y+8
-3y+8+6y=3

Since -3y and 6y are like terms, subtract 6y from -3y to get 3y.
x=-3y+8
3y+8=3

Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both sides.
x=-3y+8
3y=-8+3

Add 3 to -8 to get -5.
x=-3y+8
3y=-5

Divide each term in the equation by 3.
x=-3y+8
(3y)/(3)=-(5)/(3)

Simplify the left-hand side of the equation by canceling the common factors.
x=-3y+8
y=-(5)/(3)

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is -(5)/(3).
x=-3(-(5)/(3))+8
y=-(5)/(3)

Multiply -3 by each term inside the parentheses.
x=5+8
y=-(5)/(3)

Add 8 to 5 to get 13.
x=13
y=-(5)/(3)

This is the solution to the system of equations.
x=13
y=-(5)/(3)

Answer 4

Wait, I just realized that you numbered each one, 1 and 2. I picked it up as if you were multiplying by those numbers. You aren't, are you?

Answer 5

no

Answer 6

If you aren't, there is no solution. The answer above is correct.

Answer 7

x+3y=8_x=3-3y

Since 3y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3y from both sides.
x=-3y+8
x=-3y+3

Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is -3y+8.
x=-3y+8
(-3y+8)=-3y+3

Remove the parentheses around the expression -3y+8.
x=-3y+8
-3y+8=-3y+3

Since -3y contains the variable to solve for, move it to the left-hand side of the equation by adding 3y to both sides.
x=-3y+8
-3y+8+3y=3

Since -3y and 3y are like terms, subtract 3y from -3y to get 0.
x=-3y+8
0+8=3

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
x=-3y+8
8=3

Since 8 does not equal 3, there are no solutions.
No Solution