Answer: 
Step-by-step explanation:
We will <em>collect like terms</em>, then we will add each variable up through addition and subtraction (simplify).
<u>Step 1</u><u>: Collect like terms.</u>

<u>Step 2</u><u>: Simplify the expression.</u>

~I hope I helped you :)~
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
Answer:
The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x i the height of a large block.
y is the height of a small block.
Taylor uses 4 large blocks and 2 small blocks to make a tower 63.8 inches tall.
This means that:

Simplifying by 2:

So

Natsumi uses 9 large blocks and 4 small blocks to make a tower 139.8 inches tall.
This means that:

Since 




The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.
The answer to the question is 30
1. Set up the long addition.
2 4 7
+3 5 8
_______
2. Calculate 7+8, which is 15.
since 15 is two-digit, we carry the first digit 1 to the next column.
1
2 4 7
+ 3 5 8
________
5
3. Calculate 4+5, which is 9. Now add the carry digit of 1, which is 10. Since 10 is two-digit, we carry the first digit 1 to the next column.
1 1
2 4 7
+ 3 5 8
________
0 5
4. Calculate 2+3, which is 5. Now add the carry digit of 1, which is 6.
1 1
2 4 7
+3 5 8
______
6 0 5
5. Therefore, 247 + 358 = 605.
605