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.
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