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.

Question

Mathematics

Johnny Andrews

9 March, 23:43

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.

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Answers (1)

Know the Answer?

Krish Abbott · Answer 1

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)