Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 7*x+6*y=-1
- -12*x+13*y=-15
- -18*x+15*y=-14
- 20*x+16*y=3
- Equation:
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Equation sinx=1
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Equation x^2+5*x-14=0
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Equation -2*x-7=-4*x
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Equation x+4|x|=3
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Identical expressions
- - four *x+ three *y= seven
- minus 4 multiply by x plus 3 multiply by y equally 7
- minus four multiply by x plus three multiply by y equally seven
- -4x+3y=7
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Similar expressions
- 4*x+3*y=7
- -4*x-3*y=7
Express x in terms of y where -4*x+3*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:
$$- 4 x = 7 - 3 y$$
Divide both parts of the equation by -4
We get the answer: x = -7/4 + 3*y/4
-4*x+3*y = 7
Looking for similar summands in the left part:
-4*x + 3*y = 7
Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = 7 - 3 y$$
Divide both parts of the equation by -4
x = 7 - 3*y / (-4)
We get the answer: x = -7/4 + 3*y/4
Rapid solution
[src]
7 3*re(y) 3*I*im(y)
x1 = - - + ------- + ---------
4 4 4
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} - \frac{7}{4}$$
x1 = 3*re(y)/4 + 3*i*im(y)/4 - 7/4