Question

Write simultaneous equations to describe the situation below, solve using substitution, and fill in the blanks.

Answer 1

Dedra:

y = 2 + 3x

Nick:

y = 6 + x

Where 'y' is the total cost, and 'x' represents the number of hours.

Solve using substitution, we can substitute 2 + 3x for 'y' in the 2nd equation.

y = 6 + x

2 + 3x = 6 + x

Subtract 2 to both sides:

3x = 4 + x

Subtract 'x' to both sides:

2x = 4

Divide 2 to both sides:

x = 2

Now we can plug this into any of the two equations to get our 'y' value.

y = 2 + 3x

y = 2 + 3(2)

y = 2 + 6

y = 8

So our full solution is (2, 8). 

Which means they both bowled for 2 hours, and spent €8.