Math

QuestionCheck if each pair (x,y)(x, y) is a solution to the equation x=7x = -7.

Studdy Solution

STEP 1

Assumptions1. We have the equation x=7x=-7 . We have a set of ordered pairs (x,y)(x, y)3. We need to determine if each ordered pair is a solution to the equation

STEP 2

To determine if an ordered pair is a solution to the equation, we substitute the xx value of the ordered pair into the equation and see if it satisfies the equation.

STEP 3

Let's start with the first ordered pair (1,5)(1,5). Substitute x=1x=1 into the equation.
1=71 = -7

STEP 4

Check if the equation is true.Since 171 \neq -7, the ordered pair (1,)(1,) is not a solution to the equation x=7x=-7.

STEP 5

Now, let's move on to the second ordered pair (2,7)(2,-7). Substitute x=2x=2 into the equation.
2=72 = -7

STEP 6

Check if the equation is true.Since 22 \neq -, the ordered pair (2,)(2,-) is not a solution to the equation x=x=-.

STEP 7

Next, let's consider the third ordered pair (4,3)(-4,3). Substitute x=4x=-4 into the equation.
4=7-4 = -7

STEP 8

Check if the equation is true.Since 47-4 \neq -7, the ordered pair (4,3)(-4,3) is not a solution to the equation x=7x=-7.

STEP 9

Finally, let's consider the last ordered pair (7,)(-7,). Substitute x=7x=-7 into the equation.
7=7-7 = -7

STEP 10

Check if the equation is true.Since 7=7-7 = -7, the ordered pair (7,0)(-7,0) is a solution to the equation x=7x=-7.
So, the solutions are\begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{(x,y)(x, y)} & \multicolumn{2}{|l|}{ Is it a solution? } \\ \cline {2 -3 }(,5)(,5) & No & \\ \hline(2,7)(2,-7) & No & \\ \hline(4,3)(-4,3) & No & \\ \hline(7,0)(-7,0) & Yes & \\ \hline\end{tabular}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord