Solve the equation and check soultion
2(13t-15)+3(t-19)=0
I will be happy to check your work.
2(13t-15)+3(t-19)=0 26t-30+3t-57=0 29t=57+30 29t/29=87/29 t=3
To solve the equation 2(13t-15)+3(t-19)=0, we need to simplify the equation and then isolate the variable t.
First, distribute the 2 and 3 to their respective terms within the parentheses:
2 * 13t - 2 * 15 + 3 * t - 3 * 19 = 0
This simplifies to:
26t - 30 + 3t - 57 = 0
Combining like terms:
29t - 87 = 0
To isolate the variable t, we'll add 87 to both sides of the equation:
29t - 87 + 87 = 0 + 87
29t = 87
Finally, divide both sides of the equation by 29 to solve for t:
29t/29 = 87/29
t = 3
To check the solution, substitute the value of t back into the original equation:
2(13t-15)+3(t-19) = 0
2(13*3-15)+3(3-19) = 0
2(39-15)+3(-16) = 0
2(24) - 48 = 0
48 - 48 = 0
0 = 0
Since both sides of the equation are equal to 0, we have confirmed that the solution t = 3 is correct.