-4x-3y=-49 equation

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-4*x - 3*y = -49

$$- 4 x - 3 y = -49$$

Simplify

Detail solution

Given the linear equation:

-4*x-3*y = -49

Looking for similar summands in the left part:

-4*x - 3*y = -49

Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = 3 y - 49$$
Divide both parts of the equation by -4

x = -49 + 3*y / (-4)

We get the answer: x = 49/4 - 3*y/4

The graph

Rapid solution [src]

     49   3*re(y)   3*I*im(y)
x1 = -- - ------- - ---------
     4       4          4

$$x_{1} = - \frac{3 \operatorname{re}{\left(y\right)}}{4} - \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{49}{4}$$

x1 = -3*re(y)/4 - 3*i*im(y)/4 + 49/4

Sum and product of roots [src]

sum

49   3*re(y)   3*I*im(y)
-- - ------- - ---------
4       4          4

$$- \frac{3 \operatorname{re}{\left(y\right)}}{4} - \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{49}{4}$$

49   3*re(y)   3*I*im(y)
-- - ------- - ---------
4       4          4

$$- \frac{3 \operatorname{re}{\left(y\right)}}{4} - \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{49}{4}$$

product

49   3*re(y)   3*I*im(y)
-- - ------- - ---------
4       4          4

$$- \frac{3 \operatorname{re}{\left(y\right)}}{4} - \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{49}{4}$$

49   3*re(y)   3*I*im(y)
-- - ------- - ---------
4       4          4

$$- \frac{3 \operatorname{re}{\left(y\right)}}{4} - \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{49}{4}$$

49/4 - 3*re(y)/4 - 3*i*im(y)/4