y = 36 − 9 x 3 ∗ x + 3 y = 12 substitution of y in 2nd by right side of 1st equation: 3 ∗ x + 3 36 − 9 x = 12 3 ∗ x + 12 − 3 ∗ x = 12 12 = 12 This is identical equation which means there is infinite number of solutions, make sure the symbols in equations are right.
The substitution method is used to solve a system of equations. The provided equations are solved to find x=4, y=21. ;
Using the substitution method, we find that the solution to the equations is x = 0 and y = 36 .
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Convert to decimals: First, express x as a decimal: 1/6 = 0.1666... (repeating decimal).Compare: Now, compare x (0.1666...) and y (0.16). Since the repeating decimal of x is slightly greater than y, x > y.Analyze the options:A. x > y (correct)B. x (not a complete statement)C. x = y (incorrect)D. 2x > 3y (2 * 0.1666... = 0.3333...; 3 * 0.16 = 0.48; 0.3333... < 0.48, so 2x < 3y, incorrect)E. The relationship between x and y cannot be determined (incorrect, since we found the relationship) Correct answer: A. x > y