Question
A system of linear equations is shown.
`x-3y=7`
`x-2y=2`
What is the value of x in the solution to this system of equations?
5
-5
8
-8
`x-3y=7`
`x-2y=2`
What is the value of x in the solution to this system of equations?
5
-5
8
-8
Answers
Answered by
GPT 3.5
To find the value of x in this system of equations, we can use the method of substitution or the method of elimination. Let's use the method of elimination:
Multiplying the second equation by -1:
-x + 2y = -2
Adding the equations together, the x terms will cancel out:
(x - 3y) + (-x + 2y) = 7 + (-2)
-x + x - 3y + 2y = 7 - 2
-y = 5
Dividing both sides by -1:
y = -5
Now that we have the value of y, we can substitute it back into one of the original equations to find x. Let's use the first equation:
x - 3(-5) = 7
x + 15 = 7
x = 7 - 15
x = -8
Therefore, the value of x in the solution to this system of equations is -8.
Multiplying the second equation by -1:
-x + 2y = -2
Adding the equations together, the x terms will cancel out:
(x - 3y) + (-x + 2y) = 7 + (-2)
-x + x - 3y + 2y = 7 - 2
-y = 5
Dividing both sides by -1:
y = -5
Now that we have the value of y, we can substitute it back into one of the original equations to find x. Let's use the first equation:
x - 3(-5) = 7
x + 15 = 7
x = 7 - 15
x = -8
Therefore, the value of x in the solution to this system of equations is -8.
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