3 hours to clean 5 houses how many houses could be cleaned in 9 hours
2 answers:
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Answer:
<h2> y = 6x - 1</h2>Step-by-step explanation:
(0, -1) ⇒ x₁ = 0, y₁ = -1
(1, 5) ⇒ x₂ = 1, y₂ = 5
So the slope:
The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.
(0, -1) ⇒ x₀ = 0, y₀ = -1 ⇒ b = -1
Therefore:
y = 6x - 1 ← the slope-intercept form of the equation
-9x + 4y = 55. –------------- (1)
-11x + 7y = 82. ---------------(2)
Multiply (1) with 7 and (2) with 4. we get
-63x + 28y = 385 ----------(3)
-44x + 28y = 328 ----------(4)
Subtract (4) from (3). you will get
-19x = 57
=> x = 57/(-19)
=> x = -3
Put value of x in (1)
-9×(-3) + 4y = 55
=> 27 + 4y = 55
=> 4y = 55 - 27
=> 4y = 28
=> y = 28/4 = 7
-11x + 7y = 82. ---------------(2)
Multiply (1) with 7 and (2) with 4. we get
-63x + 28y = 385 ----------(3)
-44x + 28y = 328 ----------(4)
Subtract (4) from (3). you will get
-19x = 57
=> x = 57/(-19)
=> x = -3
Put value of x in (1)
-9×(-3) + 4y = 55
=> 27 + 4y = 55
=> 4y = 55 - 27
=> 4y = 28
=> y = 28/4 = 7