Respuesta :
The pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equations:
y = 2x - 2
y = x² - x - 6
Equate both equations:
2x - 2 = x² - x - 6
x² - 3x - 4 = 0
Solving using the quadratic formula:
[tex]\rm x_{1,\:2}=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}[/tex]
x = 4, -1
y = 6, -4
Thus, the pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
Learn more about the linear equation here:
brainly.com/question/11897796
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