Answer: A ,C,G and H are correct statements. Look into the step by step for more understanding.
Step-by-step explanation:
To solve for this problem let's find the actually numbers.
so we know that c + d=58 and also c= 1/2d-8
We have two systems of equations
c+d = 58
c= 1/2d - 8
Solve for c by substitution. Substitute the second equation into the first one.
1/2d -8 + d = 58 Add 8 to both sides
1/2 +d = 66
3/2d =66 Divide both sides by 3/2
d=44 Now we know the d which is the second number is 44 so subtract it from 58 to find the first number.
58 - 44 = 14
we will represent the statements by letters from A going.
A. The equation c + d = 58 represents the sum of the two numbers
B. The equation c+d=58 represents the sentence "The first number is 8 less than half the second number."
C.The equation c= 1/2d -8 represents the relationship between the two numbers.
D. The equation c= 1/2d - 8 represents the sum of the two numbers.
E. The number d is 14.
F. The number c is 44.
G. The number c is 14.
H. The number d is 44.
Now looking at the statements, A ,C,G and H are all correct.
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