4 years ago

Which ordered pair is the best estimate for the solution of the system of equations? y=−1/2x+4y=1/2x−3

1 answer:

8 0

If we add the 2 equations the terms in x dssappear and we get

2y = 1
so y = 1/2

Substitute in first equtaion:-

1/2 = - 1/2 x + 4
-1/2 x = 1/2 - 4 = - 7/2
x = -7/2 * -2 = 14/2 = 7

answer is (7, 1/2)

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c. Substitute

Step-by-step explanation:

A graph of the function on the left shows the parabola touches the x-axis at x = -8/3. That is, the vertex is on the x-axis. It crosses the y-axis at y = 64.

<h3>Show a value is a root</h3>

A given solution to an equation can be verified by substituting that value into the equation an showing the result is a <em>true statement</em>. Here, the value x=-8/3 is a root of the given equation because that value makes the equation true.

$9\left(-\dfrac{8}{3}\right)^2+48\left(-\dfrac{8}{3}\right)+64=0\\\\9\left(\dfrac{64}{9}\right)-\left(\dfrac{48\cdot8}{3}\right)+64=0\\\\64-\dfrac{3\cdot2\cdot8\cdot8}{3}+64=0\\\\64-2\cdot64+64=0\\\\0=0\qquad\text{True}$