Mister Exam
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How to use it?
- Express {x} in terms of y where:
- -4*x+6*y=-7
- 2*x+3*y=14
- -11*x+9*y=-20
- 10*x-18*y=-11
- Equation:
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Equation 3*9^(x-1/2)-7*6^x+3*4^(x+1)=0
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Equation (x-2)^4+3*(x-2)^2-10=0
-
Equation 12-4(x-3)=39-9x
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Equation sin(5*x)=cos(4*x)
- Integral of d{x}:
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-7
- Derivative of:
- -7
- Limit of the function:
- -7
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Identical expressions
- - four *x+ six *y=- seven
- minus 4 multiply by x plus 6 multiply by y equally minus 7
- minus four multiply by x plus six multiply by y equally minus seven
- -4x+6y=-7
-
Similar expressions
- 4*x+6*y=-7
- -4*x-6*y=-7
- -4*x+6*y=+7
Express x in terms of y where -4*x+6*y=-7
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = - 6 y - 7$$
Divide both parts of the equation by -4
We get the answer: x = 7/4 + 3*y/2
-4*x+6*y = -7
Looking for similar summands in the left part:
-4*x + 6*y = -7
Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = - 6 y - 7$$
Divide both parts of the equation by -4
x = -7 - 6*y / (-4)
We get the answer: x = 7/4 + 3*y/2
Rapid solution
[src]
7 3*re(y) 3*I*im(y)
x1 = - + ------- + ---------
4 2 2
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{2} + \frac{3 i \operatorname{im}{\left(y\right)}}{2} + \frac{7}{4}$$
x1 = 3*re(y)/2 + 3*i*im(y)/2 + 7/4