If 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4, then which of the following is correct?
The system has no solution.
Step 1: Rewrite the equations
Equation 1: 0.4x + 0.16y = 1.7
Equation 2: 0.3x + 0.12y = 3.4
Step 2: Simplify the equations
Divide Equation 1 by 0.4 and Equation 2 by 0.3 to express them in a simpler form:
Equation 1: x + 0.4y = 4.25
Equation 2: x + 0.4y = 11.33
Step 3: Compare the two simplified equations
Both equations have the same left-hand side (x + 0.4y), but the right-hand sides (4.25 and 11.33) are not equal.
This indicates that the system of equations is inconsistent and has no solution.
Thus, the correct answer is (3) The system has no solution.
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If \(3x+6y+9z = \dfrac{20}{3}, 6x+9y + 3z = \dfrac{17}{3}\) and \(18x+ 27y - z = \dfrac{113}{9}\) , then what is the value of \(75x+113y \ ?\)
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If \(4x + \dfrac{6}{y}= 15 \) and \(6x - \dfrac{8}{y} = 14\) , then the value of p in y = px - 2 is :
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B. 10x – 12
C. 3x2 + 5x
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