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Saul Waters

Feb 20, 2025

y = 3.5x – 3.5 y = -3.5x + 3.5: How many solutions will this system of equations have?

A: No solutionB: Infinite solutionsC: One solutionD: Two solutions

5 Answers

y = 3.5x – 3.5 y = -3.5x + 3.57.5x = 7.5x = 1, y = 0C: One solution... Show More
Since the variables has a power of 1 that is it will have only one solution. ANS: CGiven: Y = 3.5x – 3.5 y = -3.5x + 3.5 or y = 3.5(x-y)..:eq(1) y = 3.5(1-x)…:eq(2) From eq(1): 3.5x = (3.5+1)y = 4.5y orx = (4.5/3.5)y = (9/7)y = 1.286y andSubstitute the value of x in eq(2): y = 3.5(1-1.286y) or2.286y = 3.5 => y = 3.5/2.286 = 1.531 substitute value of y in eq(1):x = 1.286y = 1.286 * 1.531 = 1.969Verification:y = 3.5(x-y) = 3.5(1.969-1.531) = 3.5 * 0.438 = 1.532... Show More
C: one solutionGraphed on the plane, these are two lines. They are not parallel, and they are not the same line. They have different slopes. So they will intersect, and if two lines intersect in a plane, they will only intersect once.... Show More
Well,we have :y = 3.5x – 3.5 y = -3.5x + 3.5these are two lines with different slopes : -3.5 and 3.5therefore: they intersect !!C: One solution <—- ANSWERhope it’ ll help !!... Show More

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