Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -60*x=-8
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Equation 7x-(3+2x)=x+9
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Equation x/20=40*3
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Equation (1/6)^(x+8)=6^x
- Express {x} in terms of y where:
- -12*x-9*y=-3
- -2*x+1*y=5
- -6*x+7*y=6
- 19*x-5*y=6
- Sum of series:
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3/4
- Derivative of:
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3/4
- Limit of the function:
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3/4
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Identical expressions
- (x- seven)/(x+ nine)= three / four
- (x minus 7) divide by (x plus 9) equally 3 divide by 4
- (x minus seven) divide by (x plus nine) equally three divide by four
- x-7/x+9=3/4
- (x-7) divide by (x+9)=3 divide by 4
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Similar expressions
- (x-7)/(x-9)=3/4
- (1/5)^((x-3)/4)+1=0
- (x+7)/(x+9)=3/4
(x-7)/(x+9)=3/4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 7}{x + 9} = \frac{3}{4}$$
Multiply the equation sides by the denominator 9 + x
we get:
$$x - 7 = \frac{3 x}{4} + \frac{27}{4}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{3 x}{4} + \frac{55}{4}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{x}{4} = \frac{55}{4}$$
Divide both parts of the equation by 1/4
We get the answer: x = 55
$$\frac{x - 7}{x + 9} = \frac{3}{4}$$
Multiply the equation sides by the denominator 9 + x
we get:
$$x - 7 = \frac{3 x}{4} + \frac{27}{4}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{3 x}{4} + \frac{55}{4}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{x}{4} = \frac{55}{4}$$
Divide both parts of the equation by 1/4
x = 55/4 / (1/4)
We get the answer: x = 55