Question

This graph represents the system of equations below: 3x + 4y = 22 2x + 6y=22 What is the solution (the values of x and y that are true for both equations)? Fa in the coordinates of the ordered pair:( ).

Answer 1

You have the following system of equations:

3x + 4y = 22

2x + 6y = 22

In order to determine what are the solutions for both previous equations, you can use the subtraction method.

subtract the second equation to the first one:

3x + 4y = 22

-2x - 6y = -22

x - 2y = 0

from the previous equation, solve for x:

x - 2y = 0 add 2y both sides

x = 2y

the previous result means that there are infinite solutions for the given system of equations.

Any value of x which is 2 times the value of y are solutions.