a) -3 = 7 + 2t/3 To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation. -9 = 7 + 2t Next, we should subtract 7 from both sides to cancel out the 7 on the right side. -16 = 2t Finally, we should divide both sides by 2. t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3) Let's use the distributive property to get rid of the parentheses and their coefficients. 20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation. 4.5x - 6 = 20 Now, let's add 6 to both sides to get the variable term alone. 4.5x = 26 Finally, we should divide both sides by 4.5 to get x by itself. x = 5 7/9
