x + y = 5 5x + 2y = 7

Exercise 14
1.
Simultaneous Equations
Draw the lines with the following equations on the same diagram
y = 7 – x and y = x – 1
Hence solve the system of equations y = 7 – x and y = x – 1.
2.
Solve each of the following systems of equations algebraically.
a)
2x + y = 15
x–y =6
b)
3x + y = 9
x+y =5
c)
2x – 5y
= – 21
3x + 10y = 56
d)
5 x + 2y = 9
2x – 3y = -4
e)
6 x + 3y = 9
5x + 2y = 7
f)
3x – 4y = 7
8x - 7y = 15