Helpme solve this please i am really stuck
x+3y=8
x=4-3y
collect the like terms
You cannot do that on a system of equations like this
Try manipulating the equations so that all terms are on the left side. You may find that a solution does not exist.
x+3y=8
x=4-3y
By substitution, you get:
(4 - 3y) + 3y = 8
Since the y-terms cancel out, there is no solution.
I hope this helps a little more.
To solve this system of equations, you can use substitution or elimination method. I will explain both methods.
1. Substitution Method:
In the first equation, x + 3y = 8, we can solve for x in terms of y.
From the second equation, x = 4 - 3y.
Now substitute this value of x in the first equation.
(4 - 3y) + 3y = 8
Simplify the equation:
4 - 3y + 3y = 8
4 = 8
This equation is inconsistent and has no solution. Therefore, the given system of equations is inconsistent.
2. Elimination Method:
Multiply the second equation by -1 to change the sign of x.
-x = -4 + 3y
Now, add this new equation to the first equation.
(x + 3y) + (-x) = (8) + (-4 + 3y)
Simplify the equation:
3y = 4
Divide both sides of the equation by 3.
y = 4/3
Now, substitute this value of y back into one of the original equations to solve for x.
Using the second equation, x = 4 - 3y, substitute y = 4/3:
x = 4 - 3(4/3)
x = 4 - 4
x = 0
The solution to the given system of equations is x = 0 and y = 4/3.