The missing statement for the proof is;
Statement 3;S3 : 9x + 54 = 116
The missing reasons for the proofs are;
R1; Given
R2; Using Addition property of inequality
R3; Distributive property
R4; Using subtraction property of inequality
R5; Using Division property of inequality
We are given the equation;
9(x + 6) − 41 = 75
Step 2;
Using addition property of equality, we add 41 to both sides;
9(x + 6) - 41 + 41 = 75 + 41
9(x + 6) = 116
Step 3;
Using distributive property to distribute 6 over the items in the bracket to get;
9x + 54 = 116
- Step 4; Using subtraction property of equality, we subtract 54 from both sides;
9x + 54 - 54 = 116 - 54
9x = 62
- Step 5; Using division property of equality, we divide both sides by 9 to get;
9x/9 = 62/9
x = 62/9
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