Solve the following pairs of simultaneous equations
a) x + 3y = 14
3x + y = 10
b) 5x + y = 27
4x + 3y = 26
c) -6x + 5y = -14
-2x + y = -6
d) 2x + 5y = 14
3x + y = -5
e) -3x + 2y = 6
x + 4y = -9
f) 3x - 5y = 7
x + y = -11
g) 2x + 3y = 9
4x + y = -7
h) -x +5y = 7
5x + 5y = 19

a)

b)

c)

d)

e)

f)

g)

h)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

hiking down a winding trail.

step-by-step explanation: