Question

4x-3y=1 5x+4y=9 What are the resulting equations?

Answer 1

Answer:

x = 1; y = 1

Step-by-step explanation:

First thing we will do is work with the first equation:

$4x - 3y = 1$

$4x = 1+3y$

$x = \frac{3}{4} y~+~\frac{1}{4}$

Now that we have a value for x, we insert that into the second equation, like so:

$5(\frac{3}{4}y~+~\frac{1}{4}) + 4y = 9$

$\frac{15}{4}y~+~\frac{5}{4} + 4y = 9$

$\frac{15}{4}y~+~4y~+~\frac{5}{4} = 9$

$\frac{15}{4}y~+~\frac{16}{4} y~+~\frac{5}{4}$

$\frac{31}{4}y~+~\frac{5}{4} =9$

$31y + 5 = 9 * 4$

$31y + 5 = 36$

$31y = 36-5$

$31y = 31$

$y = \frac{31}{31}$

$y = 1$

Now, we solve for x:

$4x - 3(1) = 1$

$4x - 3 = 1$

$4x = 1 + 3$

$4x = 4$

$x = \frac{4}{4}$

$x=1$

Hope it helped,

BiologiaMagister