Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^4-4x^2+4=0
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Equation sin(-x)=0
- Equation (x+3)(x-2)(x+9)=0
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Equation 9x−7(x+1)=−2x.
- Express {x} in terms of y where:
- -20*x+12*y=-2
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Identical expressions
- seven *x+ three *y- three = zero
- 7 multiply by x plus 3 multiply by y minus 3 equally 0
- seven multiply by x plus three multiply by y minus three equally zero
- 7x+3y-3=0
- 7*x+3*y-3=O
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Similar expressions
- 7*x-3*y-3=0
- 7*x+3*y+3=0
7*x+3*y-3=0 equation
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 free summands (without x)
from left part to right part, we given:
$$7 x + 3 y = 3$$
Move the summands with the other variables
from left part to right part, we given:
$$7 x = \left(-3\right) y + 3$$
Divide both parts of the equation by 7
We get the answer: x = 3/7 - 3*y/7
7*x+3*y-3 = 0
Looking for similar summands in the left part:
-3 + 3*y + 7*x = 0
Move free summands (without x)
from left part to right part, we given:
$$7 x + 3 y = 3$$
Move the summands with the other variables
from left part to right part, we given:
$$7 x = \left(-3\right) y + 3$$
Divide both parts of the equation by 7
x = 3 - 3*y / (7)
We get the answer: x = 3/7 - 3*y/7
The graph
Rapid solution
[src]
3 3*re(y) 3*I*im(y)
x1 = - - ------- - ---------
7 7 7
$$x_{1} = - \frac{3 \operatorname{re}{\left(y\right)}}{7} - \frac{3 i \operatorname{im}{\left(y\right)}}{7} + \frac{3}{7}$$
x1 = -3*re(y)/7 - 3*i*im(y)/7 + 3/7
Sum and product of roots
[src]
sum
3 3*re(y) 3*I*im(y) - - ------- - --------- 7 7 7
$$- \frac{3 \operatorname{re}{\left(y\right)}}{7} - \frac{3 i \operatorname{im}{\left(y\right)}}{7} + \frac{3}{7}$$
=
3 3*re(y) 3*I*im(y) - - ------- - --------- 7 7 7
$$- \frac{3 \operatorname{re}{\left(y\right)}}{7} - \frac{3 i \operatorname{im}{\left(y\right)}}{7} + \frac{3}{7}$$
product
3 3*re(y) 3*I*im(y) - - ------- - --------- 7 7 7
$$- \frac{3 \operatorname{re}{\left(y\right)}}{7} - \frac{3 i \operatorname{im}{\left(y\right)}}{7} + \frac{3}{7}$$
=
3 3*re(y) 3*I*im(y) - - ------- - --------- 7 7 7
$$- \frac{3 \operatorname{re}{\left(y\right)}}{7} - \frac{3 i \operatorname{im}{\left(y\right)}}{7} + \frac{3}{7}$$
3/7 - 3*re(y)/7 - 3*i*im(y)/7