Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 18*x+19*y=7
- 1*x+6*y=6
- -16*x-12*y=12
- -17*x-12*y=-9
- Equation:
- Equation x^4-35*x^2-36=0
-
Equation sin(x)=pi/2
- Equation x^2-49=0
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Equation 3*sin(x)=0
- Sum of series:
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-18
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Identical expressions
- seven *x- nineteen *y=- eighteen
- 7 multiply by x minus 19 multiply by y equally minus 18
- seven multiply by x minus nineteen multiply by y equally minus eighteen
- 7x-19y=-18
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Similar expressions
- 7*x-19*y=+18
- 7*x+19*y=-18
Express x in terms of y where 7*x-19*y=-18
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:
$$7 x = 19 y - 18$$
Divide both parts of the equation by 7
We get the answer: x = -18/7 + 19*y/7
7*x-19*y = -18
Looking for similar summands in the left part:
-19*y + 7*x = -18
Move the summands with the other variables
from left part to right part, we given:
$$7 x = 19 y - 18$$
Divide both parts of the equation by 7
x = -18 + 19*y / (7)
We get the answer: x = -18/7 + 19*y/7
Rapid solution
[src]
18 19*re(y) 19*I*im(y)
x1 = - -- + -------- + ----------
7 7 7
$$x_{1} = \frac{19 \operatorname{re}{\left(y\right)}}{7} + \frac{19 i \operatorname{im}{\left(y\right)}}{7} - \frac{18}{7}$$
x1 = 19*re(y)/7 + 19*i*im(y)/7 - 18/7