Provide an appropriate response.Explain how the multiplication and addition principles might be used to solve a systems of two linear equations in two variables using the elimination method.
What will be an ideal response?
The multiplication principle might be used to multiply both sides of one equation by a nonzero number to yield an equivalent equation with a variable term that is the opposite of its counterpart in the other equation. The addition principle is used to add together two equations and eliminate a variable. After a variable has been eliminated, the multiplication and addition principles might be used to solve for the remaining variable and, after a substitution, to solve for the variable that was eliminated.
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Use the graph to determine the domain and range of the function.
A. domain: {x|x ? -1, x ? 1} range: {y|y ? 0 or y > 1} B. domain: {x|x ? -1, x ? 1} range: {y|y ? 0 or y ? 1} C. domain: {x|x ? 0 or x > 1} range: {y|y ? -1, y ? 1} D. domain: all real numbers range: all real numbers
Factor completely. If a polynomial cannot be factored, say it is prime.96x2 + 56xy + 8y2
A. prime B. 8(3x - y)(4x - y) C. 8(3x + y)(4x + y) D. (24x + 8y)(4x + y)
Simplify the exponential expression.-4
A.
B.
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D.
Solve the system by the substitution method.x + y = 10y = x2 - 8x + 16
A. {(6, 4), (1, 9)} B. {(-6, 16), (-1, 11)} C. {(6, 16), (1, 9)} D. {(4, 6)}