In a play-school with 500 students, the number of boys is 20 more than five-sevenths of the number of girls. Let’s find the numb
1 answer:
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-x + 2y = 10
6y = -12x + 1
6y = -12x + 1
6 6
y = -2x + ¹/₆
-x + 2y = 10
-x + 2(-2x + ¹/₆) = 10
-x + 2(-2x) + 2(¹/₆) = 10
-x - 4x + ¹/₃ = 10
-5x + ¹/₃ = 10
- ¹/₃ - ¹/₃
-5x = 9²/₃
-5 -5
x = -1¹⁴/₁₅
y = -2x + ¹/₆
y = -2(-1¹⁴/₁₅) + ¹/₆
y = 3¹³/₁₅ + ¹/₆
y = 4¹/₃₀
(x, y) = (-1¹⁴/₁₅, 4¹/₃₀)
It is intersecting, making the answer equal to C.
6y = -12x + 1
6y = -12x + 1
6 6
y = -2x + ¹/₆
-x + 2y = 10
-x + 2(-2x + ¹/₆) = 10
-x + 2(-2x) + 2(¹/₆) = 10
-x - 4x + ¹/₃ = 10
-5x + ¹/₃ = 10
- ¹/₃ - ¹/₃
-5x = 9²/₃
-5 -5
x = -1¹⁴/₁₅
y = -2x + ¹/₆
y = -2(-1¹⁴/₁₅) + ¹/₆
y = 3¹³/₁₅ + ¹/₆
y = 4¹/₃₀
(x, y) = (-1¹⁴/₁₅, 4¹/₃₀)
It is intersecting, making the answer equal to C.