What is the value x in the solution to this system equations 3x-5y=22 Y=-5x+32

Mathematics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

Step-by-step explanation:

3x - 5(-5x + 32) = 22

3x + 25x - 160 = 22

28x = 22 + 160

28x = 182

x = 6.5

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Which expression is equivalent to 8-(6r+2) a -6r+6 b 2r+2 c 6r+10 d -6=10

dybincka [34]

Answer:

a -6r+6

Step-by-step explanation:

$8-(6r+2)$

Use - to expand the bracket

$8-6r-2$

Group like terms and simplify

$-6r-2+8\\\\-6r+6$

3 0

2 years ago

Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for u

Softa [21]

The monthly income is $844.

Given:

Weekly earning after taxes is $700
Monthly rent is $725
Monthly expense for utilities is $125

Monthly expense for cable/internet is $120

Monthly expense for cellphone is $35

Monthly expense for bus fare is $48

Minimum monthly payment of credit card debt is $78

Monthly expense for groceries is $600

Monthly expense for dining out and entertainment is $225

To find: The monthly income

The monthly income refers to the amount of money left over each month after paying all expenses.

Evaluating, we have,

The total monthly expense = $( $725 + 125 + 120 + 35 + 48 + 78 + 600 + 225$ )

That is, the total monthly expense is $1956.

It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $( $700 \times 4$ ), that is, $2800.

Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $( $2800-1956$ ), that is, $844.