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Hunter-Best [27]
3 years ago
12

Solve for y. 7y - 6y - 10 = 13

Mathematics
1 answer:
salantis [7]3 years ago
8 0
Start off by combining like terms (your y's).
7y - 6y - 10 = 13
y - 10 = 13

Now you need to get y by itself so add 10 to both sides

y - 10 = 13
+10       +10

y = 23
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One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let
valkas [14]

Answer:

x = 18 y = 10

Step-by-step explanation:

let the first number be x

let the second number be y

x = y + 8..... equation 1

2x + y = 46.... equation 2

x is the larger number

y is the smaller number.

Rearrange the equation and add equation 1 to equation 2.

x - y = 8

+ 2x + y = 46

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3x + 0 = 54

3x = 54

divide both sides by 3

x = 54/3

x = 18

Substitute x = 18 into equation 1

x = y + 8

18 = y + 8

collect like terms

y = 18-8

y = 10

3 0
2 years ago
When reading a book, Charlie made a list by writing down the page number of the last page he finished reading at the end of each
Assoli18 [71]

Answer:

No. of pages he read by the end of the 8th day = 425

Step-by-step explanation:

Charlie started from page 1 and read the same number of pages each day. Suppose x is the number of pages he read each day, the last page he read on the first day would be:

<u>Last page for day 1 = 1 + x</u>

This would be the first number he noted on the list.

The second page number can be determined by adding the number of pages he read to the last page for day 1.

Last page for day 2 = 1 + x + x

                                 = 1 + 2x

Similarly, the last page he read on the third day is:

Last page for day 3 = 1 + 3x. Similarly,

Last page for day 4 = 1 + 4x

Last page for day 5 = 1 + 5x

Last page for day 6 = 1 + 6x

Last page for day 7 = 1 + 7x

Last page for day 8 = 1 + 8x

His Mom added all of the page numbers and got a total of 432. So,

432 = 1+x + 1+2x + 1+3x + 1+4x + 1+5x + 1+6x + 1+7x + 1+8x

432 = 8 + 8x

8x = 432-8

8x = 424

x = 424/8

x = 53

By the end of the 8th day he actually read 1 + 8x pages. Substituting the value of x in this expression, we get:

No. of pages he read by the end of the 8th day = 1 + 8(53)

                                                                               = 1 + 424

No. of pages he read by the end of the 8th day = 425

4 0
3 years ago
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