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Alexxandr [17]

This is a linear equation in x.

So you need to group like terms

$1 + 4x = - 5 + 7x$
Let us group the x terms on the Right Hand Side of the equation and the constant terms on the Left Hand Side.

$1 + 5 = 7x - 4x$
We can now simplify

$6 = 3x$
Now let us divide both sides by 3.

$\frac{6}{3} = \frac{3x}{3}$

This implies that

$2 = x$
or

$x = 2$
Let us our answer

$1 + 4(2) = - 5 + 7(2)$

$1 + 8 = - 5 + 14$
$9 = 9$
Good we are right

5 0

3 years ago

Read 2 more answers

The total number of? restaurant-purchased meals that the average person will eat in a? restaurant, in a? car, or at home in a ye

zmey [24]

Answer:

<em>The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.</em>

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is $x$ , in a car is $y$ and at home is $z$

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

$x+y+z=163 .............................(1)$

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

$y+z=x+13 ................................(2)$

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

$x= z+20..................................(3)$

First, <u>substituting equation (2) into equation (1)</u>, we will get........

$x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75$

<em>Now plugging this $x=75$ into equation (3)</em>, we will get......

$75=z+20\\ \\ \Rightarrow z=75-20= 55$

<em>Plugging $x=75$ and $z=55$ into equation (1)</em> .........

$75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33$

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

8 0

2 years ago

Use the given endpoint R and midpoint M of line RS to find the coordinates of the other endpoins.

makvit [3.9K]

S(-6, 4)

If you plot on a simple graph you will find the other end point S there

6 0

2 years ago

Ten years ago Victors age WAs half of the age he will be in 10 years how old is he now?

ICE Princess25 [194]

By solving a linear equation, we will see that Victor is 30 years old.

<h3>How old is Victor now?</h3>

Let's say that Victor is x years old.

We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).

Then we can write the linear equation:

(x - 10) = (x + 10)/2

Now we can solve that equation for x:

2*(x - 10) = x + 10

2x - 20 = x + 10

2x - x = 10 + 20

x = 30

So we conclude that Victor is 30 years old.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

3 0

1 year ago

What is the value of x

Gemiola [76]

For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
$x / 15 = 5/12
$
Clearing x we have:
$x = (5/12) * (15)

x = 6.25$
Answer:
The value of x is given by:
x = 6.25

4 0

3 years ago