Question

Solving a System of Linear Equations Using the Graphing

Calculator
Solve the system of linear equations by graphing.
2r+3y = 169
5r=y+74
What is the solution to the system of linear equations? Round to the nearest tenth as needed.

Answer 1

The solution is (22.8, 40.1)

Explanation:

Transform the equations to 'y = '

2r + 3y = 169

3y = -2r + 169

y = -2/3 r + 169/3

5r = y + 74

y = 5r - 74.

Now you can use the calculator to draw the graphs or use the equation facility if it has one.

Where the graphs intersect is the solution.

Answer 2

9514 1404 393

Answer:

(r, y) = (23, 41)

Explanation:

See the attachment for the solution.