Answer:
Step-by-step explanation:
x + y = 10
22x + 14y = 172
-22x - 22y = -220
22x + 14y = 172
-8y = - 48
y = 6 ceramic vases
x + 6 = 10
x = 4 glass vases
Answer:
60 miles is 96.6 kilometers
Step-by-step explanation:
Answer: x^2 + 19
Step-by-step explanation: Cancel out x^2 and add 7 and 12 together. 7 + 12 = 19. Next plug in x^2. So, its now x^2 + 19.
Hope this help!
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!