Question

Solve the system of equations using the substitution method.
-5x − 3y = 16
y = x
(x, y) = (
,

Answer 1

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

Answer 2

Answer:

$y = - 2 \\ x = - 2$

Step-by-step explanation:

Question

$- 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2$

Now you can write the 1st equation like this.

$- 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3$

Now simply Solve the 3rd equation

$- 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2$

Now replace y as 2 in the 2nd equation like this

$y = x \\ - 2 = - 2$

Now let's check whether the answer correct or wrong

$- 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16$

Yes, the answer is correct

hope this helps you !!