Solve:

X + y = 4

-5x - 6y = - 18

x = 6 and y = - 2

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 5 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

x + y = 4

-5x - 6y = - 18

→ We have to multiply the top equation by - 6 so the y coefficients are the same

-6x - 6y = - 24

-5x - 6y = - 18

→ Minus the equations

-x = - 6

x = 6

→ Substitute x = 6 back into x + y = 4

6 + y = 4

y = - 2

So the solutions are y = - 2 and x = 6