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).
After manipulating above equation we get, 2x^2 - 7x - 8= 0. Discriminant= b^2 - 4ac = (-7)^2 - 4(2)(-8) = 113>0. So there are 2 real roots :)
Answer:
x = 4
Step-by-step explanation:
Distributive Property: a(b + c) = (a*b) + (a*c)
2x - 4(x - 3) = -8 + 5x - 8
2x + x * (-4) - 3*(-4) = -8 + 5x - 8
2x - 4x + 12 = -8 + 5x - 8
2x - 4x - 5x + 12 = -8 - 8
-7x + 12 = -16
-7x = -16 -12
-7x = -28
x = -28/-7
x = 4
4/5 divided by 1/10 = 4/5 x 10/1 = 40/5 = 8
Answer:
X = -7
Step-by-step explanation: