Answer:
A.)
Step-by-step explanation:
The answer that you had chosen is correct, because the number line is stating that you are subtracting 5 from 0, giving you -5. Then it is saying that you are subtracting 2 from that, giving you -7.
B.) is wrong, because they are adding the answer of the correct equation with another number, which would equal -12.
C.) is incorrect, because when you are adding a positive with a negative, you are actually subtracting, not adding. When you are doing this, always keep the sign for the answer (negative or positive) with whatever the larger addend is. So in this letter's situation, the equation would look like this: -5 + 2 = -3.
D.) is incorrect because once again, they are taking the original correct answer and subtracting it from another number, which would be -12.
I hope this helps.
Answer:
Step-by-step explanation:
From the table;
When x=2, 
When x=3, 
When x=4, 
We can infer from the pattern that;
2+9-18/6-10
11-18/-4
-7/–4=7/4
First you want to know what y or x is i chose y for this on
so the equation i'm going to use is -2x-5y=3
i want to solve for y
-2x-5y=3
+2x +2x
-5y=2x+3
/-5 /-5 /-5
y=-2/5x+-3/5
Now that i solved for y we substitute our answer into the next equation to solve for x like this:
3x+8y=-6
3x+8(-2/5x+-3/5)=-6
3x+ -3.2x+-4.8=-6
-0.2x+-4.8=-6
+4.8 +4.8
-0.2x=-1.2
/-0.2 /-0.2
x=6
After you know what x is you substitute it in for any of the equations that we started with. I picked 3x+8y=-6 to find y.
3x+8y=-6
3*6+8y=-6
18+8y=-6
-18 -18
8y=-24
/8 /8
y=-3
Since we know what x and y are we substitute it with any of the equations that we started with. i picked -2x-5y=3
-2*6-5*-3=3
-12- -15=3
3=3
so our solution (6,-3) works
