Complete the Proof.
Given: x/4-7=y and y=2
Prove: x=36
Using the Properties of Equalities.
We are given the equation x/4 - 7 = y and the value y = 2. We want to prove that x = 36.
Substituting y = 2 into the equation x/4 - 7 = y, we have:
x/4 - 7 = 2
Adding 7 to both sides of the equation, we get:
x/4 = 2 + 7
Simplifying, we have:
x/4 = 9
Multiplying both sides of the equation by 4, we have:
4 * (x/4) = 4 * (9)
x = 36
Therefore, we have proven that x = 36.
To prove that x = 36, we will substitute the value of y into the given equation and solve for x.
Given: x/4 - 7 = y and y = 2
Step 1: Substitute the value of y into the equation x/4 - 7 = y:
x/4 - 7 = 2
Step 2: Simplify the equation by adding 7 to both sides:
x/4 - 7 + 7 = 2 + 7
x/4 = 9
Step 3: Multiply both sides of the equation by 4 to isolate x:
4 * (x/4) = 4 * 9
x = 36
Therefore, the proof shows that x = 36.
To complete the proof, we need to substitute the given value for y into the equation x/4 - 7 = y.
Step 1: Substitute y = 2 into the equation.
x/4 - 7 = 2
Step 2: Simplify the equation by combining like terms.
x/4 - 7 + 7 = 2 + 7
x/4 = 9
Step 3: Isolate the variable x by multiplying both sides of the equation by 4.
4*(x/4) = 4*9
x = 36
Therefore, by using the given value of y = 2 and the properties of equalities, we have proved that x = 36.