Advertisements
Advertisements
Question
Given: mx + ny = p and y = ax + b. Find x in terms of m, n, p, a and b.
Advertisements
Solution
mx + ny = p
Substitute y = ax + b in the above equation
mx + n(ax + b) = p
⇒ mx an x + bn = p
⇒ x(m + an) + bn = p
⇒ x(m + an) = p - bn
⇒ x = `("p" - "bn")/("m" + "an")`.
APPEARS IN
RELATED QUESTIONS
The fahrenheit temperature, F is 32 more than nine -fifths of the centigrade temperature C. Express this relation by a formula.
The area A of a circular ring is π times the difference between the squares of outer radius R and inner radius r. Make a formula for this statement.
A man bought 25a articles at 30p paisa each and sold them at 20q paisa each. Find his profit in rupees.
Make r2 the subject of formula `(1)/"R" = (1)/"r"_1 + (1)/"r"_2`
Make k the subject of formula T = `2pisqrt(("k"^2 + "h"^2)/"hg"`
If A = pr2 and C = 2pr, then express r in terms of A and C.
If V = pr2h and S = 2pr2 + 2prh, then express V in terms of S, p and r.
Make g the subject of the formula v2 = u2 - 2gh. Find g, when v = 9.8, u = 41.5 and h = 25.4.
"The volume of a cylinder V is equal to the product of π and square of radius r and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 44cm3, π = `(22)/(7)`, h = 14cm.
"The volume of a cone V is equal to the product of one third of π and square of radius r of the base and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 1232cm3, π = `(22)/(7)`, h = 24cm.
