Solve system of equations
x+3y=7 (1)
x=8-3y (2)
no solution
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There is no solution because the two lines
x + 3y = 7, and
x + 3y = 8
are parallel and do not intersect.
You have already added "no solution" to your question. So what are you asking it?
i wanted to make sure it was correct. Sorry i didn't say that and thank you
To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
We have two equations:
Equation 1: x + 3y = 7
Equation 2: x = 8 - 3y
We can substitute Equation 2 into Equation 1 to solve for y:
(8 - 3y) + 3y = 7
Simplifying this equation, we get:
8 - 3y + 3y = 7
8 = 7
From this equation, we can see that the variable y cancels out, and we are left with a contradiction. Since 8 is not equal to 7, there is no solution to this system of equations.
In graphical terms, the two equations represent two parallel lines that never intersect, indicating the absence of a solution.
Therefore, the given system of equations has no solution.