Solve This Equations 3x+y=11, 5x-3y=9 (Waec 2015), Question Using Simultaneous Equation-Checkout!.

Good evening to you all the readers of this blog, I hope you all understand out last tutorial on ratio if yes, let go straight to the new topic.

The Ropic For Today Tutorial Is Simultaneous Equations.

Example 1

Solve this equations 3x+y=11, 5x-3y=9 (Waec 2015) question.

Solution by substitution method.

3x+y=11____________(equation 1)        

5x-3y=9_____________equation 2

From equation 1 Y=11-3x_____________equation 3

Substituting this value for y in equation 2

5x-3(11-3x)=9.

So therefore, 5x-33+9x=9.

So therefore, 14x=42

So therefore x=3.

Substituting this value for x in equation (3).

Y = eleven minus three multiply by three11-3(3)

Y = eleven minus nine (11-9).

Y =2

So therefore, x =3, and y = 2.

To know if its is a correct answer, kindly check by substituting both value in equation (1) and equation (2).

Equation (1)
3x+y

= Three multiply by three plus two (3×3+2).

=Nine plus two (9+2).

= eleven (11).

Equation (2).

5x-3y

= five multiply by three minus three multiply by two (5×3-3×2)

= fifteen minus six (15-6)

=nine (9).

Example 2.

Solve this equations 2x-3y=13, 5x+2y=4.

Solution by elimination method.

2x-3y=13.   equation 1

  5x+2y=4.    equation 2

Add equation (1) and equation (2) together.

  4x-6y= 26.  Equation (1).

15x+6y= 12 Equation (2).
____________
19x       =38.

So therefore, x= 38 divided by nine-then (38/19).

Equal to (=) 2

So therefore x = 2.

Substitute in equation (2).

5×2+2y=4

So therefore 2y= 4-10=-6.

So therefore y= -3.

Hope is  this simultaneous equation is clear to you all, if yes you can all try bellow question.

(1). Solve this equation
4/x+1/y=4, 2/x-3/y=9.

Find (x) and (y). Either using substitution or elimination method (waec 2016) question.

(2). Solve this equation 3x-2y+1=2x+5y-10=4x-3y.

Find (x) and (y).

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Solve This Equation, If 83.35 Naira(Righty Three Naira- Thirty Five kobo) Is The Cost Prise Of 9 (nine) Identical Clothes, Find The Cost Of 10 (ten) Of Then In terms Of Ratio-Checkout!

Good morning to all the readers of this blog how is your Night?, hope you are good. Without wasting our time let me go straight to the point.

The Topic For Our Today Tutorial Is Ratio.
Firstly what is Ratio?.

Ratio can be defined as a number representing a comparison between two things.

Also a ratio can be (arithmetic) The relative magnitudes of two quantities (usually expressed as a quotient)

Types Of Ratio

1. Direct ratio.

2. Inverse Ratio.

Example Number 1: if 83.35 naira(eighty three naira- thirty five kobo) is the cost prise of 9 (nine) identical clothes, find the cost of 10 (ten) of then

Solution

==> Since the number of 9(nine) clothes to be bought is nine over ten(9/10) of the original number, the cost will be nine over ten(9/10) of the original cost,
==> I.e since the number of clothes is decreased in the ratio 9:10, the cost will also be decreased in the ratio 9:10.
==> Money to be found, So their for in the first line of the working, time comes last.
==> 9(nine) clothes cost 83.35 naira(eighty three naira-,thirty five kobo.
==> So therefore 10( ten) clothes will be 83.35×naira

==> Cross multiply

==> 83.35/1×9/10

==> It will give you 8.335×9.

==> Equal to 75.015.

==> Our final answer is 75.015 naira.

This example illustrates direct ratio.

Example 2(two)

If 10(ten) men paint a building in 28(twenty-eight) days, how long would 7(seven) men take?

Solution

==> Seven men(7) will take longer than ten(10) men.

==> since the number of men is decrease in the ratio 7:10,

==> So therefore the time taken is increased in the ratio 10:7.

==> Time is to be found,

==> So therefore, in the first line of our working, time comes last.

==> Ten(10), men take twenty-eight(28) days.

==> So therefore, seven(7) men take 25×9/7.

==> Cross multiply.

==> 28/7 ×9/1.

=(equal to ) 4×9 i.e  four multiply by nine.

=(equal to) thirty-six(36) days.

Our finial answer is thirty-six(36) days.

This example illustrates inverse ratio.
Like I said earlier that we have two types of ratio.

Hope is clear to you all,  if yes you can all try bellow question.

If a nine (9) bags of a rice cost $12.15, how many can be bought for $17.55?

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