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4 years ago

What is the answer (2x + 6) = c

Mathematics

2 answers:

Katena32 [7]4 years ago

7 0

Answer:

X=3

C=12

Step-by-step explanation:

(2x+6)=c

2x+6

x=2/6

x=3

2x3+6=c

c=12

maxonik [38]4 years ago

7 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x= c/2-3

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4 years ago

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

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3 years ago

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3 years ago

What is the translation rule for this translation?

Anna35 [415]

Answer:

T(x,y)->(x-3,y-6)

Step-by-step explanation:

Say we take point E and E1. To move E to E1, we need to move it to the left 3 units, already giving us x-3. Then, we need to find out how far down it moved. by counting the units, we can tell that it moved 6 units down as well, giving us y-6. In the end, we get T(x,y)->(x-3,y-6).

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4 years ago

What is the answer (2x + 6) = c​

What is the answer (2x + 6) = c