EXPLAIN A system of equations
consists of 3x + 7y = 8 and
2x + 4y = 6. Choose a method for finding the solution and explain how you would use it to find the solution.

Step-by-step explanation:

expressed as

3x + 7y = 8- - - - - - - - - - - - -1

2x + 4y = 6- - - - - - - - - - - -2

Applying the method of elimination, we would eliminate x by multiplying equation 1 by 2 and equation 2 by 3. It becomes

6x + 14y = 16- - - - - - - - - - -3

6x + 12y = 18- - - - - - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

2y = - 2

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2y/2 = - 2/2

y = - 1

Substituting y = - 1 into equation 1, it becomes

3x + 7 × - 1 = 8

3x - 7 = 8

Adding 7 to the left hand side and the right hand side of the equation, it becomes

3x - 7 + 7 = 8 + 7

3x = 15

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = 15/3

x = 5

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0