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1 year ago

Three times the quantity of a number c increased by 7 is equal to the same number, c, decreased by 15

Mathematics

1 answer:

Yuliya22 [10]1 year ago

7 0

After solving the given equation, we know that the value of c is -11.

<h3>What are equations?</h3>

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values.

As in 3x + 5 = 15, for example.

There are many different types of equations, including linear, quadratic, cubic, and others.

Let's learn more about math equations in this tutorial.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

Sc, we have the equation:

3c + 7 = c - 15

Now, calculate this equation for c as follows:

3c + 7 = c - 15

3c - c = -15 - 7

2c = -22

c = -22/2

c = -11

Therefore, after solving the given equation, we know that the value of c is -11.

Know more about equations here:

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Three times the quantity of a number c increased by 7 is equal to the same number, c, decreased by 15. What is c in this situation?

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anyanavicka [17]

Solution:

Given:

$4x-6y\leq-18$

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

$\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24$

$\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}$

Therefore, the correct answers are selected as shown below;