HELP: How do I graph this?
1 answer:
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Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒
"The sum of the numbers is 43"
⇒
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.
Their difference is 16. Hence:
The first number is three times the second number. So:
Substitute:
Solve for <em>b</em>. Subtract:
And divide both sides by two:
So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.