Use substitution to solve the system.
x=3y-8
3x-4y=-9
2 answers:
Equation 1) x = 3y - 8
Equation 2) 3x - 4y = -9
For equation 1, subtract 3y from both sides.
1) x - 3y = -8
Then, multiply ALL of equation 1 by 3.
1) 3(x - 3y = -8)
1) 3x - 9y = -24
2) 3x - 4y = -9
Subtract equations from one another.
-5y = -15
Divide both sides by -5.
y = 3
Plug in 3 for y in the second equation.
3x - 4y = -9
3x - 4(3) = -9
Simplify.
3x - 12 = -9
Add 12 to both sides.
3x = -9 + 12
Simplify.
3x = 3
x = 1
~Hope I helped!~
<span>x=3y-8
3x-4y=-9
We are told that:
</span>x=3y-8
So replace x in 3x-4y=-9 with x=3y-8 like so:
3(3y-8)-4y=-9
Start by distributing the 3:

Now you have:

Combine like terms, now you have:

add 24 to both sides

Now you have:

Divide both sides by 5 to get:
y=3
Now that you know y=3 plug it into:
x=3y-8
x=3(3)-8
x=1
Final answer: (1,3)
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