Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Browse exam papers

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Solve for x and y in the simultaneous equations given below

Solve for x and y in the simultaneous equations given below
21x-12y=-29
12x+5y=19

Answers

Wilfykil answered the question on September 4, 2019 at 05:41

Answer Attachments

Next: In the figure below PS=PR PS=13 cm, RS=10 cm and angle QSR=30^o.

Previous: The resistance to the motion of a car is partly constant and partly varies as the square of the speed.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

In the figure below PS=PR PS=13 cm, RS=10 cm and angle QSR=30^o. (Solved)

In the figure below PS=PR PS=13cm, RS=10cm and angle QSR=30^o. Find the length of QS

Date posted: September 4, 2019 . Answers (1)
Factorise 90x²-40y² (Solved)

Factorise 90x²-40y²

Date posted: September 4, 2019 . Answers (1)
A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. (Solved)

A line Ax +3y-6=0 is perpendicular to the line 5x+7y-k=0. If 5x+7y-k=0 passes through the point (4,3). Determine the values of A and K

Date posted: September 4, 2019 . Answers (1)
The radius of a cone is given as 4.2cm while its height is given as 9.7cm. (Solved)

The radius of a cone is given as 4.2cm while its height is given as 9.7cm. Find the percentage error in
the estimation of the volume of the cone

Date posted: September 4, 2019 . Answers (1)
Two circles of radii 3.5cm and 4.2cm with centres O₁ and O₁ respectively intersect at points A and B as shown in the figure below. (Solved)

Two circles of radii 3.5cm and 4.2cm with centres O₁ and O₂ respectively intersect at points A and B as shown in the figure below. The distance of the centres is 6cm.

Calculate
(a) angle AO₁B to the nearest degree
(b) angle AO₂B to the nearest degree
(c) Area of the quadrilateral O₁AO₂B, correct to 2 decimal places.
(d) The shaded area correct to two significant figures.(Take π =22/7)

Date posted: September 3, 2019 . Answers (1)
On a squared paper draw the graph of y=(1-2x)(x+4) for the range -6 (Solved)

(a) On a squared paper draw the graph of y=(1-2x)(x+4) for the range -6
(b) On the same grid draw the line y=2-3x.

(c) Use your graphs to solve the equations
(i) (1-2x)(x+4)=-5
(ii) 2-4x-2x²=0

Date posted: September 3, 2019 . Answers (1)

The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of the original cone. (Solved)

The diagram below shows a frustrum made by cutting of a small cone on a plane parallel to the base of
the original cone. The frustrum represents a bucket with the open-end diameter of 28cm and the bottom diameter of 21cm. The bucket is 20cm deep. Calculate to 1 decimal place, the capacity of the bucket in litres.

Date posted: September 3, 2019 . Answers (1)
The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. (Solved)

(a)The figure below shows a metal solid consisting of a right cone mounted onto a hemisphere. The height h of the cone is twice the radius r. if the volume of the solid is 36cm³, find the radius of the hemisphere.

(b) The solid is totally immersed in water contained in a cylindrical tin of radius 9cm. through what height does the water level in the tin rise.

(c) The solid is melted and recast into a right pyramid of vertical height 4.2cm. Find the base area of the pyramid.

(d) If the solid is of mass 14.4g. Find its density in kg/m³.

Date posted: September 3, 2019 . Answers (1)
Five towns A,B,C,D and E are such that B is on a bearing of 040^o and 6km from E. (Solved)

Five towns A,B,C,D and E are such that B is on a bearing of 040^o and 6km from E. D is due west of E on a bearing of 340^o from E. A is due North of E on a bearing of 045^o from D. C is on a bearing of 250^o from B and due North of E.

(a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
(b) Use your drawing to determine;
(i) the bearing and distance of B from A.
(ii) the bearing and distance of C from D.
(iii) the distance between A and E.

Date posted: September 3, 2019 . Answers (1)
The sides of a rectangle are increased by 10%. By what percentage is the area increased (Solved)

The sides of a rectangle are increased by 10%. By what percentage is the area increased

Date posted: September 3, 2019 . Answers (1)
Solve the following equation for x without using tables or calculators. (Solved)

Solve the following equation for x without using tables or calculators.

Date posted: September 3, 2019 . Answers (1)
Each interior angle of n-sided polygon is 350^o (Solved)

Each interior angle of n-sided polygon is 350^o.
(a) Find n.
(b) What is the name of the polygon?

Date posted: September 3, 2019 . Answers (1)
A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. (Solved)

A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
sold the mixture at Ksh.18 per litre, what was the percentage profit.

Date posted: September 3, 2019 . Answers (1)
The figure below shows the graph of velocity Vm/s against time t seconds of a car. (Solved)

The figure below shows the graph of velocity Vm/s against time t seconds of a car. If the car traveled a
distance of 32 metres, in the first four seconds, calculate the average velocity for the whole journey.

Date posted: September 3, 2019 . Answers (1)
Find the integral values of x which satisfy the simultaneous inequalities. (Solved)

Find the integral values of x which satisfy the simultaneous inequalities.

3x-2<10+x <10+x

Date posted: September 3, 2019 . Answers (1)
A sector of a circle of radius 10cm has an arc that subtends an angle of 270^o at the centre. (Solved)

A sector of a circle of radius 10cm has an arc that subtends an angle of 270^o at the centre.
Calculate the vertical height of the cone formed by the sector.

Date posted: September 3, 2019 . Answers (1)
In the figure below MPN is a tangent to the circle at P. Find ?SPQ and ?NPQ, stating your reasons. (Solved)

In the figure below MPN is a tangent to the circle at P. Find angle SPQ and angle NPQ, stating your reasons. Angle SRQ=120^o and angle PQR=62^o

Date posted: September 3, 2019 . Answers (1)
The line passing through the points P(5, b), Q(2,3) is parallel to the line 2y=-x+2. determine the value of b. (Solved)

The line passing through the points P(5, b), Q(2,3) is parallel to the line 2y=-x+2. Determine the value
of b.

Date posted: September 3, 2019 . Answers (1)
Simplify the expression (Solved)

Simplify the expression

Date posted: September 3, 2019 . Answers (1)
Without using mathematical table of calculator, evaluate: (Solved)

Without using mathematical table of calculator, evaluate:

Date posted: September 3, 2019 . Answers (1)