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For the following questions, use the system of equations. 3x + 2y = 14, 2x - 4y = 4. A. Solve the system of equations using either the substitution method or the multiplication/addition method? B. Check your solution by writing the system as a matrix equation and using the inverse matrix.

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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