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prisoha [69]
2 years ago
9

Systems of equations with different slopes and different y-intercepts have one solution?​

Mathematics
1 answer:
Artemon [7]2 years ago
6 0

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

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We can try in turn rearranging both equations and see which unknown term would have been easier to solve first

Equation 2x+8y=12

Making 'x' the subject
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Making 'y' the subject
8y=12-2x, multiply each term by 8 gives
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Equation 3x-8y=11
Making 'x' the subject
3x=11+8y, divide each term by 3
x= \frac{11}{3}+ \frac{8}{3}y ⇒ (Option 3)

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From all the possibilities of rearranged term, the most efficient option would have been the first option, from equation 2x+8y=12 with 'x' as the subject, x=6-4y





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Assuming you are supposed to solve for the variable "t",

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