If you would like to solve the following system of equations, you can do this like this:
y = - 2 * x + 7
y = 1/3 * x
____________
1/3 * x = - 2 * x + 7
1/3 * x + 2 * x = 7
1/3 * x + 6/3 * x = 7
7/3 * x = 7 /*3/7
x = 7 * 3 / 7
x = 3
y = 1/3 * x = 1/3 * 3 = 1
The correct result would be: x = 3 and y = 1.
Adding both equations
2x=4k
x=2k
y=k
so (2k,k)
Answer:
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<h2>Hello!</h2>
The answer is: [-2,2]
<h2>
Why?</h2>
The range of a function shows where the function can exist in the y-axis.
To know the range of the function, we have to isolate x,
So

The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.
Therefore,
The range of the function is [-2,2]
Have a nice day!