Respuesta :
Answer:
not the matrix equation but this works
x=4, y=1
Step-by-step explanation:
2x-4y=4 (original equation)
2(3x+2y=14) (do this so that you can subtract or add- it's still equal)
2x-4y=4 (original equation)
6x+4y=28 (after multiplying)
8x=32 (add 2 equations together to cancel out 4y, can also subtract)
x=4 (division)
2(4)-4y=4 (substitution)
8-4y=4 (multiplication)
4y=4 (addition/subtraction)
y=1 (division)
The solution of the system of the equations is (6, 4).
The given system of equations are x + 2y = 14, 2x - 4y = 4.
What is the system of equations?
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Now, x + 2y = 14 -----(1) and 2x - 4y = 4 -----(2)
x=14-2y substitute this in 2x - 4y = 4.
That is, 2(14-2y)-4y=4
⇒28-2y-4y=4
⇒-6y=-24
⇒y=4
Substitute y=4 in the equation (1).
That is, x + 2×4= 14
⇒x=6
Therefore, the solution of the system of the equations is (6, 4).
To learn more about the system of the equations visit:
https://brainly.com/question/12895249.
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