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.
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! :)
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.
since y = both, just equate them:
-x-5 = 2x+4
3x = -9
x = -3
y = -2
Too bad you didn't show your work...
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.