Use substitution to determine whether the ordered pair (–2, –3) is a solution of the equation x2 – y = 7. Show some work. Be sure to state your conclusion about whether the ordered pair is a solution or not.
I assume you meant x^2 - y = 7
let's sub in the given point
Left Side = (-2)^2 - (-3)
= 4 + 3
= 7
Right Side = 7
Mmmhh, what do you think?
I think that makes sense, although I used 2 computer based calculators that told me the solution was -1. So the annswer is 7 and solution is a true statement.
- (-3) = + 3
I think you probably told the calculator 4 - 3 = 1 but it is 4 -(-3) = 4+3 = 7
Got it! Thanks!
To determine whether the ordered pair (-2, -3) is a solution to the equation x^2 - y = 7, we need to substitute the given values into the equation and check if it holds true.
Let's substitute x = -2 and y = -3 into the equation:
(-2)^2 - (-3) = 7
Simplifying this expression, we have:
4 + 3 = 7
7 = 7
Since both sides of the equation are equal, we can conclude that the ordered pair (-2, -3) is indeed a solution to the equation x^2 - y = 7.
Therefore, the ordered pair (-2, -3) satisfies the given equation.