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GaryK [48]
3 years ago
8

Solve the system of equations -4x+11=15 and x=2y

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

x = -, y = - 1/2

Step-by-step explanation:

- 4x + 11 = 15 \\  - 4x = 18 - 11 \\  - 4x = 4 \\ x =  \frac{4}{ - 4}  \\ \red{ \bold{ x =  - 1}} \\ x = 2y \\ 2y =  - 1 \\ \purple{ \bold{ y=  -  \frac{1}{2} }}

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Read 2 more answers
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
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