What is the solution to this system of equations?
1 answer:
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
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There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
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To solve this, we simply need to take half of the total distance (2/3)
Next, we need to turn the 2 into a fraction. Every whole number can be made into a fraction by putting it over 1.
Because we are dividing, we need to invert the second fraction and then multiply.
Next, we multiply the top of the first fraction by the top of the second and the bottom of the first fraction by the bottom of the second.
Once you reduce, you get: