How come we got 5x+4y=86 in mr joshi plant question???
Answers
The solution is x=2 and y=2
Step-by-step explanation:
Given two equations
\frac{4}{x}+3y=8,\frac{6}{x}-4y=-5x4+3y=8,x6−4y=−5
we have to solve the above two by elimination or substitution method.
\text{First we substitute u = }\frac{1}{x}\text{ we get the two equations as}First we substitute u = x1 we get the two equations as
4u+3y=8........(1)4u+3y=8........(1)
6u-4y=-5........(2)6u−4y=−5........(2)
Multiply (1) eq by 3 and second equation by 2, we get
12u+9y=24........(3)12u+9y=24........(3)
12u-8y=-10........(4)12u−8y=−10........(4)
Subtract equation (4) from (3)
9y-(-8y)=24-(-10)9y−(−8y)=24−(−10)
17y=3417y=34
y=\frac{34}{17}=2y=1734=2
4u+3y=84u+3y=8
4u+6=84u+6=8
4u=24u=2
u=\frac{1}{2}u=21
\frac{1}{x}=\frac{1}{2}x1=21
x=2x=2
\text{Hence, the solution is x=2 and y=2}Hence, the solution is x=2 and y=2