Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation -x/12+x=55/12
- Equation x-y=1
-
Equation 3(x+3)=2x+5
-
Equation 8-5(2x-3)=13-6x
- Express {x} in terms of y where:
- -4*x+6*y=-7
- -7*x-13*y=5
- 6*x+1*y=14
- 14*x-3*y=-5
-
Identical expressions
- eight - five (2x- three)= thirteen -6x
- 8 minus 5(2x minus 3) equally 13 minus 6x
- eight minus five (2x minus three) equally thirteen minus 6x
- 8-52x-3=13-6x
-
Similar expressions
- sqrt(10+x)+5=-2*x^13-6*x
- 8-5(2x-3)=13+6x
- 8-5*(2x-3)
- 8-5(2x+3)=13-6x
- 8-5*(2*x-3)=13-6*x
- 8+5(2x-3)=13-6x
8-5(2x-3)=13-6x equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
8 - 5*(2*x - 3) = 13 - 6*x
$$- 5 \cdot \left(2 x - 3\right) + 8 = - 6 x + 13$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$- 10 x = - 6 x - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$- 4 x = -10$$
Divide both parts of the equation by -4
We get the answer: x = 5/2
8-5*(2*x-3) = 13-6*x
Expand brackets in the left part
8-5*2*x+5*3 = 13-6*x
Looking for similar summands in the left part:
23 - 10*x = 13-6*x
Move free summands (without x)
from left part to right part, we given:
$$- 10 x = - 6 x - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$- 4 x = -10$$
Divide both parts of the equation by -4
x = -10 / (-4)
We get the answer: x = 5/2
Sum and product of roots
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sum
0 + 5/2
$$0 + \frac{5}{2}$$
=
5/2
$$\frac{5}{2}$$
product
1*5/2
$$1 \cdot \frac{5}{2}$$
=
5/2
$$\frac{5}{2}$$
5/2
The graph