Complete the proof.
Given: x/4-7=y and y=2
Prove: x=36
x/4-7=y Reason
y=2 Reason
x/4-7=2 Reason
x/4=9 Reason
Add 7 to both sides of the equation:
x/4 - 7 + 7 = 2 + 7
Simplify both sides:
x/4 = 9
Multiply both sides of the equation by 4 to isolate x:
4 * (x/4) = 9 * 4
Simplify both sides:
x = 36
Therefore, x = 36.
To complete the proof, we need to solve the equation x/4 = 9 for x.
To solve for x, we can multiply both sides of the equation by 4 to get rid of the denominator:
x/4 * 4 = 9 * 4
This simplifies to:
x = 36
Therefore, we have proved that x = 36.
To prove that x = 36, we need to solve the equation x/4 - 7 = 2.
1. Start with the given equation x/4 - 7 = y.
2. Substitute y = 2 into the equation, since it is given that y = 2.
3. Now we have x/4 - 7 = 2.
4. Add 7 to both sides of the equation to isolate the x/4 term: x/4 = 9.
5. Multiply both sides of the equation by 4 to get rid of the fraction: x = 36.
Therefore, x = 36 is proven.