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A system of equations is shown below: x + y = 3 2x − y = 6 The x-coordinate of the solution to this system of equations is _____. Numerical Answers Expected!

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ghanami
hello :
x + y = 3 .... (1)
 2x − y = 6  ....(2)
by (1) : y=3-x
in (2) : 2x-(3-x)=6
3x=9
x=3
y= 3 -3 =0
isyllus

Answer:

x-coordinate of the solution to this system of equation is 3

Step-by-step explanation:

System of equation:

x + y = 3

2x - y = 6

We are given two system of equation. We need to solve for x and y.

We have two method to solve x and y

  • Elimination Method: In this method, we eliminate one variable and solve for another variable.
  • Substitution Method: In this method, we find the value of one variable in term of another variable and then substitute into another equation.

Here we will use elimination method to solve for x and y

          x + y = 3

         2x - y = 6

Now we add both equation and eliminate y

x + 2x = 3 +6

3x=9

Divide by 3 both sides and we get x=

x=3

Now we put x=3 into x+y=3

So, 3+y=3 and solve for y

So, y=0

Solution: (3,0)

Thus, x-coordinate of the solution to this system of equation is 3


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