Step 1: Combine like terms on the left side of the equation: 6n + 5n = 11n.
Justification: The property used here is the distributive property, which states that for any real numbers a, b, and c, a(b + c) = ab + ac. In this case, we are distributing the 6 to the n and distributing the 5 to the n.
Step 2: Rewrite the equation with the combined like terms: 11n - 4 = 73.
Justification: No specific property is used here. This step simply rearranges the terms of the equation to put the like terms together on one side.
Step 3: Add 4 to both sides of the equation: 11n = 77.
Justification: The property used here is the addition property of equality, which states that if a = b, then a + c = b + c. In this case, we are adding 4 to both sides of the equation to isolate the variable term.
Step 4: Divide both sides of the equation by 11: n = 7.
Justification: The property used here is the division property of equality, which states that if a = b and c is not equal to 0, then a/c = b/c. In this case, we are dividing both sides of the equation by 11 to solve for n.
Write the steps in solving 6n-4+5n=73. Justify each step with an appropriate property.
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1 answer