Solve the system of equations is given below 2x+3y=18 x+7y=31

Mathematics

1 answer:

Veronika [31]3 years ago

3 0

{2x + 3y = 18
x + 7y = 31}

2x+ 3y = 18
x=31-7

2(31-7)+3y=18

y=4

x=31-7*4
x=3

(x,y) = (3,4)

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a box half full of apples weighs 40kg and the same box one fifth full weighs 22kg. what does the box weigh when empty?

likoan [24]

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6 0

3 years ago

-2(x-5)=6(2- 1/2x)<br><br> Please show your work. Distributive property, remove variable

schepotkina [342]

The solution of given equation is x=2

Further explanation:

In order to solve the given equation we have to isolate the variable x on one side of the equation. The process will involve distributive property and simplification.

Given:

$-2(x-5)=6(2-\frac{1}{2}x)\\Apply\ distributive\ property\\-2x-2(-5)=(6)(2)-(6)(\frac{1}{2}x)\\-2x+10=12-\frac{6}{2}x\\-2x+10=12-3x\\-2x+3x=12-10\\x=2$