Question

Create a system of linear equations that has the coordinates (birth year, birth month) as its only solution. for example, november 2007 coordinates will be (7,11) they must both be diagonal, not horizontal or vertical.

A) graph your system and clearly state your two linear equations.
B) prove algebrically that your solution is (your birth year, your birth month) by subsituition or elimination.
C) verify algebrically that your point (birth year, birth month) is the solution to your system of equations

Answer 1

A) See below

B) (7,11)

C) (7,11)

Explanation:

Part B:

I chose the example (7,11)

y = 1/7x + 10

y = 2x -3

I am going to use substation and set the equations equal to each other and solve for x.

1/7 x + 10 = 2x - 3 Subtract 1/7x from both sides

10 = 2x - 1/7 x -3

10 = 14/7 x - 1/7 x - 3

10 = 13/7 x - 3 Add 3 to both sides

13 = 13/7 x multiply both sides by 7/13

7 = x

Substitute 7 for x in either of the original equations

y = 2x - 3

y = 2(7) - 3

y = 11

The solution is (7,11)

Part C - Check:

y = 1/7x + 10

11 = 1/7(7) + 10

11 = 1 + 10

11 = 11 checks

y = 2x - 3

11 = 2(7) - 3

11 = 14 - 3

11 = 11 checks

Helping in the name of Jesus.