Answer:
the ordered pair that is a solution to the equation 5x + y = –23 is (–4, –3), which corresponds to choice (c) in the list of options.
Explanation:
To find the ordered pair that is a solution to the equation 5x + y = –23, we can use the method of substitution. In this method, we first solve one of the variables in terms of the other, and then substitute this value into the other variable's equation to solve for its value.
In this case, we can solve for y in terms of x by rearranging the terms in the equation to isolate y on one side. We can do this by subtracting 5x from both sides of the equation, which gives us y = –23 – 5x.
Next, we can substitute this expression for y into the equation for x to solve for its value. We can do this by replacing y with –23 – 5x in the equation 5x + y = –23, which gives us 5x + –23 – 5x = –23.
Solving this equation for x, we find that x = –4. We can then substitute this value for x into the equation y = –23 – 5x to solve for y. Substituting –4 for x in the equation y = –23 – 5x, we find that y = –23 – 5 * –4 = –23 + 20 = –3.
Therefore, the ordered pair that is a solution to the equation 5x + y = –23 is (–4, –3), which corresponds to choice (c) in the list of options.