Answer:
t=(7+5g)/3
Step-by-step explanation:
5(t-g)=2t+7
5t-5g=2t+7
5t-2t=7+5g
3t=7+5g
divide both side by 3
t=(7+5g)/3
As per linear equation, the variable 't' is subject of 5(t -g) = 2t + 7 as [tex]t = \frac{5g + 7}{3}[/tex].
"A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
There are linear equations in one variable and linear equations in more than one variable. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
The given linear equation is:
5(t - g) = 2t + 7
We can calculate the value of the variable 't' by keeping it in the left hand side of the equation and then rest of the elements on the right hand side of the equation. Now we get:
⇒ 5t - 5g = 2t + 7
⇒ 5t - 2t = 5g + 7
⇒ 3t = 5g + 7
⇒ [tex]t = \frac{5g + 7}{3}[/tex]
Therefore, the value of the variable 't' in terms of the variable 'g' is [tex]t = \frac{5g + 7}{3}[/tex].
To learn more about a linear equation here: https://brainly.com/question/11897796
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