The graph of a system of equations with the same slope will have no solutions
2 answers:
Answer with explanation:
The two linear equations,
1.⇒ y = ax + b
And,2.⇒ y= a x+ c
As well as,3.⇒ 2 y = 2 a x + 2 b or ,⇒ k y= k a x + k b
All the three lines has same slope.
⇒Line 1 and 2 are parallel lines due to different y intercepts, and Line 2 and Line 3 has also same slope but they are coincident.
⇒⇒So,yes when lines are Parallel that is they have same slope has no Solution, but lines which are Coincident having same Slope has infinite number of Solutions.
⇒Incorrect Statement
The graph of a system of equations with the same slope will have no solutions
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8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)
<u>Step-by-step explanation:</u>
Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,
20% in x + 50% in (15 – x) = 15 litres of 34%
Convert percentage values, we get
0.20(x) + 0.50 (15 – x) = 15 (0.34)
0.20 x + 7.5 – 0.50 x = 5.1
-0.3 x + 7.5 = 5.1
0.3 x = 7.5 – 5.1
0.3 x = 2.4
Apply ‘x = 8’ value in (15 – x) we get,
15 – 8 = 7 litres
The value of 7 litres for (amount of 50% solution needed)
