Simultaneous Equations Review
Due by Friday 27th November
Question 1
Pick either elimination or substitution, as you prefer, and solve the following
equations
3x + 2 y = 7
x = 7 - 3y
5 x + 2 y = 22
a)
b)
c)
x = 3- y
x- y =3
3 x + 2 y = 10
x - 2y + 4 = 0
6 x - 3 y = 21
y+x=3
d)
e)
f)
5 x - 6 y + 18 = 0
6 x + y = 25
y - 2x = 3
Question 2
Solve the following non-linear simultaneous equations by jamming or substitution.
y = x+2
y = 4 x + 11
y = 2x -1
a)
b)
c)
2
2
y = x -4
y = x + 3x - 1
y = 2 x 2 + 3x - 7
d)
10 - x 2 = y 2
y = 2- x
e)
x2 = y + 3
2x - 3y = 8
f)
x 2 + xy + y 2 = 7
2x + y = 4
Question 3
The product of two positive numbers is 221 and their difference is 4. What are the
numbers?
Question 4
I want to build a rectangular playing area. I have enough edging bricks to make
the perimeter 42m and enough paving stones to cover and area of 108m2. Is it
possible to build the playing area using all the materials without having to buy
more? If it is, give the length and width of the area.