Which expression illustrates the associative property of addition?
1 answer:
<h3>Option C</h3><h3>(3 + 19) - 12 = 3 + (19 - 12) represent associative property of addition</h3>
<em><u>Solution:</u></em>
<em><u>The associative property of addition of three numbers a, b and c is given as:</u></em>
<em><u>Option A</u></em>
( 3 + 19 ) - 12 = (3 + 12) - 19
Here, +19 in left side of equation is written as -19 in right side of equation
Therefore, it does not represent associative property of addition
<em><u>Option B</u></em>
3 + (19 - 12) = 3 + (19 + 12)
Here, -12 in left side of equation is written as +12 in right side of equation
Therefore, it does not represent associative property of addition
<em><u>Option C</u></em>
(3 + 19) - 12 = 3 + (19 - 12)
22 - 12 = 3 + 7
10 = 10
This represents associative property of addition
<em><u>Option D</u></em>
3 + (19 - 12) = 3 - (19 + 12)
3 + 7 = 3 - 7
10 not equal to -4
Therefore, it does not represent associative property of addition
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The solution to the system of equations is (8, -4)
<h3>How to solve the system?</h3>The system of equations is given as;
y = -1/4x - 2
y = 3/8x - 7
See attachment for the graph of the equations
From the attached graph, we have the point of intersection to be
(x, y) = (8, -4)
Hence, the solution to the system of equations is (8, -4)
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