Using Dis. Property to solve Equations
Use the Dis Property
Combine like terms
Solve using inverse operations
3(a-3)= 2(a+4)
Somebody please explain!
3 a - 9 = 2 a + 8
3 a - 2 a = 8 + 9
a = 17
post it.
To solve the equation 3(a-3)=2(a+4) using the distributive property, combining like terms, and inverse operations, follow these steps:
Step 1: Distributive property
Apply the distributive property by multiplying each term inside the parentheses by the coefficient outside the parentheses. In this case, we multiply 3 by (a-3), and multiply 2 by (a+4):
3 * a + 3 * -3 = 2 * a + 2 * 4
This simplifies to:
3a - 9 = 2a + 8
Step 2: Combine like terms
Combine the like terms on both sides of the equation. The like terms are the ones that have the same variable (a) raised to the same exponent (1). In this case, the like terms are 3a and 2a:
(3a - 2a) - 9 = 8
This simplifies to:
a - 9 = 8
Step 3: Solve using inverse operations
To isolate the variable "a" on one side of the equation, perform inverse operations. Begin by adding 9 to both sides of the equation:
a - 9 + 9 = 8 + 9
This simplifies to:
a = 17
Therefore, the solution to the equation 3(a-3)=2(a+4) is a=17.