Substitution method of y=x+5 and 5x+y=3

Mathematics

2 answers:

Levart [38]3 years ago

7 0

To solve by substitution, you need to fill in the value for either x or y. Since y = x + 5, you already have the y value. It's x + 5. Now you need to find x before you can go any further. So let's take 5x + y = 3 and fill x + 5 in for y. 5x + y = 5 5x + x + 5 = 3 Now solve for x. 5x + x + 5 = 3 6x + 5 = 3 6x = 3 - 5 6x = -2 x = -2/6 or -0.33 Now solve x + 5 for y. y = x + 5 y = -0.33 + 5 y = 4.67 So x = -0.33 and y = 4.67

vaieri [72.5K]3 years ago

3 0

Solve for the first variable in one of the equations,then substitute the result into the other equation.
(-1/3,14/3)

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Generally, the equation for the height is mathematically given as

V=(20-2x)(40-2x)x

Where x is the height

V=4x^3-120x^2+800x

differentiate v and solve

dv/dx=3x^2-60+200

3x^2-60+200=0

Therefore

x= $\frac{60\pm \sqrt{60^2-4x3x200}}{2*3}$

x= $\frac{60-34.64}{6}$

x=4.2265

In conclusion, the second differentiation of v and solve we have

d^2v/dx^2=24-240

Hence

d^2v/dx^2< 0

V=(20-2x(40-2x)x

subsitute x

V=(20-2(4.2265))(40-2(4.2265))(4.2265)

V=1539.6007