Question

Use the diagram to work out the solution to these simultaneous

equations:
y-2x = 8
2x + 5y = 16

Answer 1

The simultaneous equations solved algebraically is x = -2 and y = 4

Solving the simultaneous equations algebraically

From the question, we have the following parameters that can be used in our computation:

y - 2x = 8

2x + 5y = 16

Rewrite the first equation as

2x = y - 8

Substitute 2x = y - 8 into the equation 2x + 5y = 16

So, we have

y - 8 + 5y = 16

This gives

6y = 24

So, we have

y = 4

Recall that

2x = y - 8

So, we have

2x = 4 - 8

2x = -4

x = -2

Hence, the simultaneous equations solved algebraically is x = -2 and y = 4