Question

Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. Type solution or not a solution.

(5, 3);{6x - 7y = 1
3x + 7y = 5

Answer 1

Well a coordinate is in the format \(\large\bf{(x,y)}\) so we plug `5 as x` and `3 as y`....

\(\huge\bf{6(5)-7(3)=1}\)

\(\huge\bf{3(5) + 7(3)=5}\)

Are they each `true` to their total?

Answer 2

seems like it

Answer 3

Calculate this:

(5, 3)

6x - 7y = 1

What is 6 times 5 =

What is -7 * 3 =

Add those two and see if you get an answer of 1.

Answer 4

and if i do

Answer 5

If you do, that means that

(5, 3) is on graph of 6x - 7y = 1.

The next step is to follow a similar procedure to determine is (5,3) is also a solution of
3x + 7y = 5.