How is rewriting literal equations useful when solving problems

1 answer:

4 0

Rewriting literal equations is useful when solving problems by helping us get more organized with the problem. If the problem is organized, than it is much easier to solve. (I hope this answered your question)

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Worth 60 points

alex41 [277]

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect. To find this point, first equate the equations and solve for x:

$\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}$

Substitute the found value of x into one of the equations, and solve for y:

$y=3\left(\dfrac14\right)+1=\dfrac74$

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

$\left(\dfrac14,\dfrac74\right)$

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

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Answer:

AC<AB+BC

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