solve by elimination method what is the solution of the system?
0.3x-0.2y=4
0.5x+0.3y=1
solution?___
type in ordered pair
there are infinitely many solutions___
no solution?
0.3x-0.2y 4
To solve this system of equations by the elimination method, we can multiply the first equation by 10 to get rid of the decimals.
By multiplying the first equation by 10, we have:
(10)(0.3x-0.2y) = (10)(4)
3x-2y = 40
Now, we can multiply the second equation by 2 to make the y coefficients opposite in sign and equal in absolute value.
By multiplying the second equation by 2, we have:
(2)(0.5x+0.3y) = (2)(1)
x + 0.6y = 2
Now, we can add the two equations together to eliminate the variable y.
(3x-2y) + (x + 0.6y) = 40 + 2
4x - 1.4y = 42
Simplifying this equation gives us:
4x - 1.4y = 42
There is no coefficient for y in this equation, meaning there is no y-term. Therefore, we only have an equation in terms of x. This indicates that these two lines are parallel and will never intersect, resulting in no solution.
Hence, there is no solution to this system of equations.