Question

Find whether the ordered pair giving is solution to both liner equations. Insert the X- and y- Values into each equation and determine whether each is a true statement. Show work.

Answer 1

The ordered pair (4,1) gives a true statement for both equations.

Explanation:

So for the first equation, x + 2y = 6. The ordered pair is (4,1). This means x=4 and y=1 because ordered pairs are in (x,y) form. First substitute the x and y values into the first equation

Let x=4 y=1

x + 2y = 6.

4 + 2(1) = 6

4 + 2 = 6

6=6. This means that the ordered pair works for the first equation.

Now, the second equation. x - y = 3.

Again, substitute the x and y values.

4 - 1 = 3

3=3. This means that the ordered pair (4,1) works for the second equation.

The ordered pair (4,1) gives a true statement for both equations.