Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- 7*x-1*y=-7
- 10*x-15*y=16
- -14*x-12*y=5
- -14*x+10*y=19
- Equation:
- Equation x^2-10*x-24=0
- Equation x-y=7
-
Equation sin(x)=sqrt(2)/2
-
Equation 1/(x-1)^2+2/(x-1)-3=0
-
Identical expressions
- eight *x+ three *y= four
- 8 multiply by x plus 3 multiply by y equally 4
- eight multiply by x plus three multiply by y equally four
- 8x+3y=4
-
Similar expressions
- 8*x-3*y=4
Express x in terms of y where 8*x+3*y=4
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:
$$8 x = 4 - 3 y$$
Divide both parts of the equation by 8
We get the answer: x = 1/2 - 3*y/8
8*x+3*y = 4
Looking for similar summands in the left part:
3*y + 8*x = 4
Move the summands with the other variables
from left part to right part, we given:
$$8 x = 4 - 3 y$$
Divide both parts of the equation by 8
x = 4 - 3*y / (8)
We get the answer: x = 1/2 - 3*y/8
Rapid solution
[src]
1 3*re(y) 3*I*im(y)
x1 = - - ------- - ---------
2 8 8
$$x_{1} = - \frac{3 \operatorname{re}{\left(y\right)}}{8} - \frac{3 i \operatorname{im}{\left(y\right)}}{8} + \frac{1}{2}$$
x1 = -3*re(y)/8 - 3*i*im(y)/8 + 1/2