The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b
?
A.
4, 1
B.
-19, 40
C.
20, 1
D.
30, 9
E.
-8, -29
1 answer:
Answer:
E. -8, -29
Step-by-step explanation:
a-b=21
5a -2b =18
Take the first equation and solve for a by adding b to each side
a-b=21
a-b+b=21+b
a = 21+b
Now substitute a=21+b into the second equation
5a -2b =18
5(21+b) -2b =18
Distribute the 5
105 +5b-2b =18
Combine like terms
105 +3b =18
Subtract 105 from each side
105-105 +3b = 18-105
3b = -87
Divide each side by 3
3b/3 =-87/3
b = -29
if b = -29, we can substitute it into a =21+b
a = 21-29
a = -8
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First thing we need to do is to replace their value
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Any Questions /
Answer:
it's d credit to the people who said it
Divide both sides by 2 2(x+2)=-
move constant to the right x+2=-2
calculate x=-2-2
x=-4
Answer:
Yes, 88 is the solution
Step-by-step explanation:
1/8x = 11
Multiply both sides by 8
8(1/8)x = 11 (8)
x = 88