21x+14y=35 equation

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21*x + 14*y = 35

$$21 x + 14 y = 35$$

Simplify

Detail solution

Given the linear equation:

21*x+14*y = 35

Looking for similar summands in the left part:

14*y + 21*x = 35

Move the summands with the other variables
from left part to right part, we given:
$$14 y = 35 - 21 x$$
Divide both parts of the equation by 14

y = 35 - 21*x / (14)

We get the answer: y = 5/2 - 3*x/2

The graph

Rapid solution [src]

     5   3*re(x)   3*I*im(x)
y1 = - - ------- - ---------
     2      2          2

$$y_{1} = - \frac{3 \operatorname{re}{\left(x\right)}}{2} - \frac{3 i \operatorname{im}{\left(x\right)}}{2} + \frac{5}{2}$$

y1 = -3*re(x)/2 - 3*i*im(x)/2 + 5/2

Sum and product of roots [src]

sum

5   3*re(x)   3*I*im(x)
- - ------- - ---------
2      2          2

$$- \frac{3 \operatorname{re}{\left(x\right)}}{2} - \frac{3 i \operatorname{im}{\left(x\right)}}{2} + \frac{5}{2}$$

5   3*re(x)   3*I*im(x)
- - ------- - ---------
2      2          2

$$- \frac{3 \operatorname{re}{\left(x\right)}}{2} - \frac{3 i \operatorname{im}{\left(x\right)}}{2} + \frac{5}{2}$$

product

5   3*re(x)   3*I*im(x)
- - ------- - ---------
2      2          2

$$- \frac{3 \operatorname{re}{\left(x\right)}}{2} - \frac{3 i \operatorname{im}{\left(x\right)}}{2} + \frac{5}{2}$$

5   3*re(x)   3*I*im(x)
- - ------- - ---------
2      2          2

$$- \frac{3 \operatorname{re}{\left(x\right)}}{2} - \frac{3 i \operatorname{im}{\left(x\right)}}{2} + \frac{5}{2}$$

5/2 - 3*re(x)/2 - 3*i*im(x)/2