Advertisements
Advertisements
Question
Find the value of m, if x = 2, y = 1 is a solution of the equation 2x + 3y = m.
Advertisements
Solution
Let x = 2 and y = 1 be a solution of the equation.
2x + 3y = m
⇒ 2(2) + 3(1) = m
⇒ 4 + 3 = m
⇒ m = 7
∴ If x = 2 and y = 1 is the solution of the equation
2x + 3y = m then the value of m is 7.
APPEARS IN
RELATED QUESTIONS
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3x - y = 23
`x/3 + y/4 = 4`
For solving pair of equation, in this exercise use the method of elimination by equating coefficients:
y = 2x - 6; y = 0
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`[ x - y ]/6 = 2( 4 - x )`
2x + y = 3( x - 4 )
10% of x + 20% of y = 24
3x - y = 20
Solve the following simultaneous equations:
13a - 11b = 70
11a - 13b = 74
If 2x + y = 23 and 4x - y = 19 : find the value of x - 3y and 5y - 2x.
Can the following equations hold simultaneously?
7y - 3x = 7
5y - 11x = 87
5x + 4y = 43
If yes, find the value of x and y.
The length of a rectangle is twice its width. If its perimeter is 30 units, find its dimensions.
If 1 is added to the denominator of a fraction, the fraction becomes `(1)/(2)`. If 1 is added to the numerator of the fraction, the fraction becomes 1. Find the fraction.
A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol. How much of each solution should be used?
