Question

Solve each of the following pairs of simultaneous equations by using substitution X+5y=8

Y=3x

Answer 1

x+5y=8 ----------------- (1)

y=3x ----------------- (2)

Substitute (2) into (1):

x + 5(3x) = 8

Distribute 5:
x + 15x = 8

Combine like terms:
16x = 8

Divide both sides by 16:
x = 0.5

Substitute x = 0.5 into (2):

y = 3(0.5)

Distribute 3
y = 1.5

Answer: x = 0.5, y = 1.5