Which graph best represents the solution to the following pair of equations? (1 point)
y = −x − 5
y = 2x + 4
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair 6, 7.
(6,7)
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair 6, negative 8.
(6,-8)
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 3, negative 2.
(-3,-2)
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 6, 7.
(-6,7)
OK, so on this problem, i got the answer (-3,-2) which is C, but when you go back and check your work, any way you work it out, the equations dont agree. Can someone please explain why this is.
since y = both, just equate them:
-x-5 = 2x+4
3x = -9
x = -3
y = -2
Too bad you didn't show your work...
oobleck, yes I do realize that. Did you read it because I said I got that answer but when you went to check it, nothing equaled anything. I got the answer but checking the work did not support it.
Sorry if this sounded rude. Not being rude at all! :)
C:
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 3, negative 2.
(-3,-2)
so, what do you mean "nothing equaled anything"?
Plot the two lines. They intersect at (-3,-2)?
I didn't read your gibberish, because the description of the solution "equaled" perfect sense to me.
sheesh.
In this case, it seems that there might be a discrepancy between the correct answer and the answer you obtained. Let's analyze the situation to see where the confusion might arise from.
The given pair of equations is:
1) y = -x - 5
2) y = 2x + 4
To find the solution to this pair of equations, we can set the equations equal to each other:
-x - 5 = 2x + 4
Simplifying the equation, we get:
3x = -9
x = -3
To find the corresponding y-coordinate, we substitute the value of x into either of the original equations. Let's use equation 1):
y = -(-3) - 5
y = 3 - 5
y = -2
Therefore, the solution to the pair of equations is (-3, -2).
Now, let's compare this result to the given answer choices:
A) (6, 7)
B) (6, -8)
C) (-3, -2)
D) (-6, 7)
As we can see, the correct answer is indeed C) (-3, -2), which matches the solution we derived.
If you obtained a different answer or found that the equations don't agree, it's possible that there was an error made during the calculations or when substituting the values. I would recommend double-checking your work and ensuring that each step is performed correctly.
Additionally, it's always a good idea to verify the solution by plotting the equations on a graph and confirming that the lines intersect at the correct point.