Solve graphically: 2x - y = 7 and x - 2y = 5.
1 answer:
Answer:
(3, - 1)
Step-by-step explanation:
We want to solve the system of equations:
2*x - y = 7
x - 2*y = 5
graphically.
To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:
y = -7 + 2*x
y = -(5/2) + x/2
Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.
Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.
Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)
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Use the rational zero theorem
In rational zero theorem, the rational zeros of the form +-p/q
where p is the factors of constant
and q is the factors of leading coefficient
In our f(x), constant is 2 and leading coefficient is 14
Factors of 2 are 1, 2
Factors of 14 are 1,2, 7, 14
Rational zeros of the form +-p/q are
Now we separate the factors
We ignore the zeros that are repeating
Option A is correct
Answer:
Solutions: ,
Step-by-step explanation:
Given the quadratic equation, 2x² + 3x + 6 = 0, where a =2, b = 3, and c = 6:
Use the <u>quadratic equation</u> and substitute the values for a, b, and c to solve for the solutions:
,
Therefore, the solutions to the given quadratic equation are:
,