Following quiz provides Multiple Choice Questions (MCQs) related to Basic Equations. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
The given equations are
2x+ y=8... (1) 4x-3y=-4 ...(2)
On multiplying (1) by 3 and adding (2) to it, we get:
10x= 20
⇒x= 2
Putting x= 2 in (1), we get: 4+ y = 8 ⇒y = 4
∴ x= 2, y= 4
Q 2 - If 2x+3y = 29 and y = x+3, what is the estimation of x?
Given 3x+7y = 75 ...(i)
5x-5 y= 25 ⇒x-y = 5...(ii)
Multiplying (ii) by 7 and adding to (i), we get:
10 x = 110 ⇒x = 11
Putting x = 11 in (ii), we get: y=(11-5) = 6
∴ x+y = (11+6) = 17
Q 4 - If x/4 + y/3= 5/12 and x/2+ y =1, then the estimation of (x+y) is:
Given equations are 3x+4y= 5 ...(i) and x+2y =2 ...(ii)
On multiplying (ii) by 3 and subtracting (i) from it, we get 2y = 1 ⇒y = 1/2
Putting y = 1/2 in (ii), we get x+2*1/2 = 2 ⇒x+1= 2 ⇒x =1
∴(x+y ) = (1+1/2 ) = 3/2
Q 5 - On the off chance that 2a+3 b= 17 and 2a+2-3b+1= 5 then:
2x+3y = 2...(i) , 3x+2y= 2...(ii)
Multiplying (i) by 2 and (ii) by 3 and subtracting, we get: -5x= -2 ⇒x= 2/5
Putting x= 2/5 in (i), we get 4/5+3y= 2 ⇒3y = (2-4/5) = 6/5 ⇒y = 6/5*1/3 =2/5
∴ the solution can be represented by a point (2/5, 2/5) which lies in 1st quadrant.
Q 8 - The arrangement of mathematical statements 2x+ℏy= 11 and 5x-7y = 5 have no arrangement when:
