4x + 2y = 12 and y = x - 3. Write the solution to this system of linear equations by typing the intersection point from your TI-83 Plus.

Question

Use your TI-83 Plus to find the solution for this system of equations: 4x + 2y = 12 and y = x - 3. Write the solution to this system of linear equations by typing the intersection point from your TI-83 Plus. IMPORTANT: Both your x and y values should be integers. Remember that the format for a point is (x,y). For BrainHoney's sake, no spaces please.

Answer 1

Take half of 4x + 2y as 2x + y and half of 12 as 6

to obtain 2x + y = 6.

Write y = x − 3 as x − y = 3.

From

2x + y = 6

1x − y = 3

3x + 0 = 9→ Add x-terms, y-terms, and constants to equate 3x to 9 or x to 3.

4x + 2y = 12 with x at 3 forces y to 0;

(3, 0) equal to (x, y) also verifies y = x − 3.