# Math Help - Simultaneous equation

1. ## Simultaneous equation

px + 4y = 8
6x + 2y =q

p and q are real munbers

Do i slove this equation like a regular simultaneous equations???

2. ## Re: Simultaneous equation

Use substitution, rewrite one of the equations for example: $px+4y=8 \Leftrightarrow x=\frac{8-4y}{p}$
Substitute $x$ in the other equation and solve for $y$.

3. ## Re: Simultaneous equation

ok so x= 8-4y
p

when Sub back into equation
would this be the end answer

24y + 2y = q - 48
26y = q - 48
y = q - 48/ 26

IS this correct???????????

4. ## Re: Simultaneous equation

We know that:
$x=\frac{8-4y}{p}$

If we substitute this into the other equation we obtain:
$6\left(\frac{8-4y}{p}\right)+2y=q$
$\Leftrightarrow \frac{48-24y+2py}{p}=q$
$\Leftrightarrow 48+y(-24+2p)=pq$
$\Leftrightarrow y=\frac{pq-48}{2p-24}$

5. ## Re: Simultaneous equation

ok thanks i fully understanded now.

6. ## Re: Simultaneous equation

You're welcome!