Answer:
x = 5
y = -6
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 4 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.
6x + 3y = 12
6x - 5y = 60
→ We can minus the equations because the 'x' coefficients are the same
8y = -48
→ Divide both sides by 8 to isolate y
y = -6
→ Substitute y= -6 back into 6x + 3y = 12
6x + 3 × -6 = 12
→ Simplify
6x - 18 = 12
→ Add 18 to both sides to isolate 6x
6x = 30
→ Divide both sides by 6 to isolate x
x = 5
