Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25).Description MathEquation A:Equation B: 4y – 3x = 16–x – 8y = 3Which statement is true about the values x = –5 and y = 0.25?A.They satisfy equation A but not equation B.B.They are the only values that make both equations true.C.They satisfy equation B but not equation A.D.They show that the equations represent the same line.
Question
Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25).Description MathEquation A:Equation B: 4y – 3x = 16–x – 8y = 3Which statement is true about the values x = –5 and y = 0.25?A.They satisfy equation A but not equation B.B.They are the only values that make both equations true.C.They satisfy equation B but not equation A.D.They show that the equations represent the same line.
Solution
To determine which statement is true, we need to substitute x = -5 and y = 0.25 into both equations and see if they hold true.
Let's start with Equation A: 4y – 3x = 16 Substituting the values, we get: 4(0.25) - 3(-5) = 16 This simplifies to: 1 + 15 = 16 So, x = -5 and y = 0.25 satisfy Equation A.
Now, let's check Equation B: -x – 8y = 3 Substituting the values, we get: -(-5) - 8(0.25) = 3 This simplifies to: 5 - 2 = 3 So, x = -5 and y = 0.25 also satisfy Equation B.
Therefore, the correct answer is B. They are the only values that make both equations true.
Similar Questions
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