The solution of the equation is x= .

Mathematics

2 answers:

Lapatulllka [165]3 years ago

7 0

The answer to your question would be X=1

erastovalidia [21]3 years ago

3 0

Answer:

$x=1$

Step-by-step explanation:

Step 1: Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides. So you take the top of the left fraction and multiply it by the bottom of the right fraction. You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

$\frac{2}{7}=\frac{6x}{4x+17}$

$2(4x+17)=7(6x)$

Step 2: Distribute

$2(4x+17)=7(6x)$

$(2*4x)+(2*17)=(7*6x)$

$8x+34=42x$

Step 3: Subtract 8x from both sides

$8x + 34- 8x = 42x - 8x$

$34=34x$

Step 4: Divide both sides by 34

$34/34 = 34x/34$

$1=x$

Answer: $x=1$

You might be interested in

Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance

kvasek [131]

Answer:

5.89 mi/h

Step-by-step explanation:

This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.

First, we start by drawing a diagram with the velocity vectors.

A= velocity of the first person

B= velocity of the second person

C= velocity in which they are moving away from each other.

Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)

Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.

Law of cosines:

$C^{2}=A^{2}+B^{2}-2ABcos \gamma$