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3 years ago

7/9 - 4/3w = -5/6 what is w

Mathematics

1 answer:

borishaifa [10]3 years ago

4 0

Answer:

w=1 5/24

Step-by-step explanation:

7/9-4/3w=-5/6

-4/3w=-5/6-7/9

-4/3w=-15/18-14/18

-4/3w=-29/18

w=-29/18:(-4/3)

w=29/18*(3/4)

w=29*3/18*4

w=29/6*4

w=29/24

w=1 5/24

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Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

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For putting value of y in second equation, we will find from equation 1

From equation 1:

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Putting value of y i.e y=10+2x in equation (2) to find value of x

$2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}$

So, now finding value of y by putting value of x= -29/4 in eq(1)

$2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}$

So, value of x is $x=-\frac{29}{4}$ and value of y is $y=-\frac{9}{2}$

Keywords: System of equations

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