Question

solve for the variable.

1. 3x+7=22 3x + 7 = 22 3x+7=22
2. 5−2y=−9 5 - 2y = -9 5−2y=−9
3. 4(t−3)=20 4(t - 3) = 20 4(t−3)=20

Explanation:

Step1: Solve \(3x + 7 = 22\)

Subtract 7 from both sides: \(3x + 7 - 7 = 22 - 7\) → \(3x = 15\)
Divide by 3: \(\frac{3x}{3} = \frac{15}{3}\) → \(x = 5\)

Step2: Solve \(5 - 2y = -9\)

Subtract 5 from both sides: \(5 - 2y - 5 = -9 - 5\) → \(-2y = -14\)
Divide by -2: \(\frac{-2y}{-2} = \frac{-14}{-2}\) → \(y = 7\)

Step3: Solve \(4(t - 3) = 20\)

Divide by 4: \(\frac{4(t - 3)}{4} = \frac{20}{4}\) → \(t - 3 = 5\)
Add 3 to both sides: \(t - 3 + 3 = 5 + 3\) → \(t = 8\)

Answer:

1. \(x = 5\)
2. \(y = 7\)
3. \(t = 8\)