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Express x in terms of y where 4*x+3*y=7

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Numerical solution:

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The solution

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4*x + 3*y = 7
$$4 x + 3 y = 7$$
Detail solution
Given the linear equation:
4*x+3*y = 7

Looking for similar summands in the left part:
3*y + 4*x = 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