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2 years ago

There are 120 children there are twice as many boys than girls how many girls are there?

1 answer:

5 0

Boys are b
Girls are g

b + g = 120
2g = b

Substitute the second equation into the first

2g + g = 120
3g = 120
g = 40

Plug in g = 40 and solve for b

b + g = 40
b + 40 = 120
b = 80

There are 40 girls and 80 boys.

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fgiga [73]

$\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star$

x = 35°

$\textsf{ \underline{\underline{Steps to solve the problem} }:}$

$\qquad❖ \: \sf \:4x + 1 + x + 4 = 180$

[ by linear pair ]

$\qquad❖ \: \sf \:5x + 5 = 180$

$\qquad❖ \: \sf \:5(x + 1) = 180$

$\qquad❖ \: \sf \:x + 1 = 180 \div 5$

$\qquad❖ \: \sf \:x + 1 = 36$

$\qquad❖ \: \sf \:x = 36 - 1$

$\qquad❖ \: \sf \:x = 35$

$\qquad \large \sf {Conclusion} :$

x = 35°

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2 years ago

Y=5x+2 <br> 4x-y=0<br> is (2,12) a solution of the system?

Svetach [21]

Answer:

The point (2,12) is not a solution of the system

see the explanation

Step-by-step explanation:

we have

$y=5x+2$ ----> equation A

$4x-y=0$ ----> equation B

Solve the system by elimination

Adds equation A and equation B

$y=5x+2\\4x-y=0\\------\\y+4x-y=5x+2+0\\4x=5x+2\\5x-4x=-2\\x=-2$

Find the value of y

substitute the value of x in the equation A

$y=5(-2)+2=-8$

The solution of the system is the point (-2,-8)

The system has only one solution, because the intersection point both lines is only one point

therefore

The point (2,12) is not a solution of the system

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Step-by-step explanation:

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