How do you solve 4x + y = 44x+y=4 and 2x + 8y = 02x+8y=0 using substitution?
2 Answers
(see below for solution method using substitution)
Explanation:
Given:
This implies:
So we can substitute
in the second given equation:
to get:
Simplifying:
The we can substitute
in the first given equation:
to get:
Explanation:
Solve by substitution and elimination
color(blue)(4x+y=4
color(blue)(2x+8y=0
We can eliminate
Use the distributive property
color(brown)(a(b+c=x)=ab+ac=ax
Now, add the above equation with the first equation to eliminate
Divide both sides by
Now,substitute the value of
Add
Divide both sides by
(I have written
Take the reciprocal and multiply
color(blue)(ul bar |(x,y)=(16/15,-4/15)|