Respuesta :

Answer: x = 10

Step-by-step explanation:

4/3 = x + 10 / 15

To get the value of x, we need to cross multiply and then make x subject of the formula

Hence when we cross multiply;

3(x + 10) = 4 × 15

3x + 30 = 60

Then, we subtract 30 from both-side of the equation

3x + 30 - 30 = 60 - 30

3x = 30

Divide both-side of the equation by 3

3x / 3 = 30/3

x = 10

The value of x that satisfies the equation [tex]4/3 =\frac{x+10}{15}[/tex] is​ x = 10.

We have given expression is,

[tex]\frac{4}{3}=\frac{x+10}{15}[/tex]

What is the meaning of expression?

The  expression is a combination of numbers, variables, functions  Expressions can be thought of as similar to phrases.

Now we have to find the value of x.

[tex]\frac{4}{3}=\frac{x+10}{15}\\[/tex]

[tex]\frac{4}{3}=\frac{x+10}{15}[/tex]

here we have isolate x therefore we have shift all the terms left side of equation

Now here 15 is divide to the right  side of equation we have to perform opposite operation here to shift the 15

therefore we perform multiplication therefore we get,

[tex]\15\times \frac{4}{3}={x+10}[/tex]

[tex]5\times 4=x+10[/tex]

subtract 10 from both side of equation and isolate x.

[tex]20-10=x\\x=10[/tex]

Therefore, the value of x that satisfies the equation [tex]4/3 =\frac{x+10}{15}[/tex] is​ x = 10.

To learn more about the algebraic expression visit:

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