Question

Solve the system of equations by the substitution method.

Answer 1

Answer:

x =

$- \frac{ 1}{7}$

y =

$\frac{61}{7}$

Step-by-step explanation:

Since both expressions 2x+9 and 9x+10 are equal to y, set them equal to each other forming an equation in x

2x+9 = 9x+10

Now, solve the equation:

2x-9x = 10-9

-7x = 1

x =

$- \frac{1}{7}$

Then, substitute the given value of x in any of the two equations given, let's take y = 2x+9

y = 2×(-1/7)+9

y =

$\frac{61}{7}$

That's it! I hope that this explanation was helpful ;)