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Lady_Fox [76]
3 years ago
9

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

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

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

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

The given equations are:

2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)

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

From equation 1:

2x-y=-10\\-y=-10-2x\\y=10+2x

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

Learn more about System of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

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