Provide an appropriate response.Explain how the multiplication and addition principles are used in solving systems of equations using the elimination method.

What will be an ideal response?


The multiplication principle might be used to obtain a pair of terms that are opposites. The addition principle is used to eliminate a variable. Once a variable has been eliminated, the multiplication and addition principles are also used to solve for the remaining variable and, after a substitution, are used again to solve for the variable that was eliminated.

Mathematics

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Write the number in decimal notation without the use of exponents.5.46 x 100

A. 54.6 B. 1 C. 0 D. 5.46

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Factor the expression completely.5x4 - 80

A. (5x2 + 4)(x - 2)(x + 2) B. 5(x2 + 4)(x2 + 4) C. 5(x2 + 4)(x - 2)(x - 2)  D. 5(x2 + 4)(x - 2)(x + 2) 

Mathematics

Find the missing number.The base of a parallelogram is 32 cm and the area is 640 cm2. Find the height.

A. 19 cm B. 18 cm C. 20 cm D. 21 cm

Mathematics

Solve the quadratic equation.x2 - 7x + 12 = 0

A. -6, -8 B. 6, 8 C. -3, -4 D. 3, 4

Mathematics