Let's solve each equation step by step:
1) 7(x - 11) + 2 = 4(x + 3) - 1Expand both sides:7x - 77 + 2 = 4x + 12 - 1Combine like terms:7x - 75 = 4x + 11Subtract 4x from both sides:3x - 75 = 11Add 75 to both sides:3x = 86Divide by 3:x = 28.67
2) 4x + 48 ÷ 4 = 2x - 7 × 3Perform division and multiplication first:4x + 12 = 2x - 21Subtract 2x from both sides:2x + 12 = -21Subtract 12 from both sides:2x = -33Divide by 2:x = -16.5
3) (0.3 - 1/20) ÷ (3/4 - 1.25)Convert fractions to decimals:(0.3 - 0.05) ÷ (0.75 - 1.25)Calculate within brackets:0.25 ÷ -0.5Divide:-0.5
Therefore, the solutions are x = 28.67, x = -16.5, and the final result from the third equation is -0.5.
Let's solve each equation step by step:
1) 7(x - 11) + 2 = 4(x + 3) - 1
Expand both sides:
7x - 77 + 2 = 4x + 12 - 1
Combine like terms:
7x - 75 = 4x + 11
Subtract 4x from both sides:
3x - 75 = 11
Add 75 to both sides:
3x = 86
Divide by 3:
x = 28.67
2) 4x + 48 ÷ 4 = 2x - 7 × 3
Perform division and multiplication first:
4x + 12 = 2x - 21
Subtract 2x from both sides:
2x + 12 = -21
Subtract 12 from both sides:
2x = -33
Divide by 2:
x = -16.5
3) (0.3 - 1/20) ÷ (3/4 - 1.25)
Convert fractions to decimals:
(0.3 - 0.05) ÷ (0.75 - 1.25)
Calculate within brackets:
0.25 ÷ -0.5
Divide:
-0.5
Therefore, the solutions are x = 28.67, x = -16.5, and the final result from the third equation is -0.5.