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3 years ago

Solve the following equation for x: 5x + 3y = 15.

Mathematics

2 answers:

Vladimir [108]3 years ago

7 0

Answer:

Step-by-step explanation:

5x + 3y = 15

5x = -3y +15

x = -3/5y +3

sladkih [1.3K]3 years ago

5 0

Answer:

The correct option is B) x = negative three fifths y + 3

Step-by-step explanation:

Consider the provided equation.

5x + 3y = 15

We need to solve the above equation for x.

Subtract both the side by 3y.

$5x + 3y-3y = 15-3y$

$5x= 15-3y$

To find the value of y, isolate the variable y:

Divide both the sides by 5.

$\frac{5x}{5}= \frac{15}{5}-\frac{3y}{5}$

$x= 3-\frac{3y}{5}$

$x= -\frac{3y}{5}+3$

Hence, the correct option is B) x = negative three fifths y + 3

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June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of el

leonid [27]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$6500\\
P=\textit{original amount deposited}\\
r=rate\to 2.6\%\to \frac{2.6}{100}\to &0.026\\
t=years\to &3
\end{cases}$

she should have invested P, in order to get I = 6500

but she instead invested 17,801, how much more did she need? well, P - 17801

solve for P

7 0

3 years ago

Read 2 more answers

3. Simplify. <br> a) 5x + 2(x - y) <br> b) 3a - 2b + 4a - 9b <br> c) 2(x - y) + 3(x - y)

mixer [17]

A. 7x-2y
b. 7a-11b
c. x-y

7 0

2 years ago

PLEASE HELP MY FUTURE DEPENDS ON THIS QUESTION 6

oksano4ka [1.4K]

Answer:

Five more than a number

Step-by-step explanation:

7 0

2 years ago

Angle JKL is an equilateral triangle jk=13x+5 KL=17x-19 and JL=8x+35

Goshia [24]

The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

<h3>What is a triangle?</h3>

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

An equilateral triangle is a shape with three sides that have an equal measure of side length.

The 3 sides of triangle JKL are equal to each other, therefore we can equate any of the two sides together to find the unknown variable called x.

So, JK = KL

JK = 13x + 5

KL + 17x - 19

13x + 5 = 17x - 19

Collect like terms;

17x - 13x = 19 + 5

4x = 24

x = 24/4

x = 6

We can now proceed to find the sides;

JK = 13x + 5

13 x 6 + 5

= 78 + 5

= 83

JK = 83

KL = 17x - 19

= 17 x 6 - 19

= 102 - 19

= 83

KL = 83

JL= 8x + 35

= 8 x 6 + 35

= 48 + 35

= 83

JL = 83

Hence, The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

Learn more about the triangles;

brainly.com/question/2773823

#SPJ1

7 0

1 year ago

Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,

iogann1982 [59]

Answer: 13%

Step-by-step explanation:

We know that the formula to find the simple interest :

$I=Prt$ , where P is the principal amount , r is rate (in decimal )and t is the time period (in years).

Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.

i.e. P = $19,100 and t= 4 years and I = $9932.00

Now, Substitute all the values in the formula , we get

$9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}$

In percent, $r=0.13\times100\%=13\%$

Hence, the rate of interest = 13%

3 0

2 years ago