Question

Solve the following equation using the subsitution method

3x-5y= 19
2x - y=4
​

Answer 1

Answer:

$\frac17; -\frac{26}7$

Step-by-step explanation:

Let's solve the second for y (it has a coefficient of -1, so it's the easiest to work with)

$y= 2x-4$

And then replace it in the first.

$3x-5(2x-4)= 19\\3x-10x+20 = 19 \rightarrow -7x=-1 \rightarrow x=\frac17$

now let's use this value of x to find y

$y= 2(\frac17)-4 = \frac27 -\frac{28}7 = -\frac{26}7$