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Svet_ta [14]
3 years ago
7

You are asked to solve for y in the equation –3 = 5y – 2x, given that x = –4. What is the first step you would take?

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

y = - \frac{11}{5}

Step-by-step explanation:

5y - 2 x = -3

Given x = - 4

5y - 2( - 4) = -3

5y + 8 = - 3

5y + 8 - 8 = - 3 - 8                   [ subtract 8 from both sides ]

5y + 0 = - 11                             [ 8 - 8 = 0 ]

y = -\frac{11}{5}

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An equation is formed of two equal expressions. The value of x for which the equation has a solution is 1.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

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4 years ago
Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he hav
Schach [20]

Answer:

Lee has 19 nickels and 8 dimes

Step-by-step explanation:

hello, I think I can help you with this

Step 1

Let

value of a nickel=$0.05

value of a dime=$0.10

number of nickels=N

number of nickels=D

According to the question data Lee has $1.75 in dimes and nickels.

0.05N+0.1D=1.75,equation(1)

also, the number of nickels is 11 more than the number of dimes.mathematical speaking

N=11+D,equation(2)

Step 2

replace N from equation (2) into equation (1)

0.05N+0.1D=1.75

0.05(11+D)+0.1D=1.75

Now, solve for D

0.55+0.05D+0.1D=1.75

0.15D=1.75-0.55

D=1.2/0.15

D=8

Step 3

replace the value of D into equation(2) to obtain N

N=11+8

N=11+8

N=19

Hence, Lee has 19 nickels and 8 dimes

Have a great day.

5 0
3 years ago
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