Is (3, 6) a solution to this system
of equations?

2x+7y=48
5x+3y=51

No, because the solution in this equation is (213/29 , 138/29)

Step-by-step explanation:

2x + 7y = 48 (Multiply this by 5)

5x + 3y = 51  (Multiply this by -2)

10x + 35y = 240

-10x - 6y = -102

29y = 138

y = 138/29

2x + 7y = 48

2x + 7(138/29) = 48

2x + 966/29 = 48

2x = 426/29

x = 213/29

(213/29 , 138/29)

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)