Question

Solve the system of equations by the substitution method. y=2x+9y=5x+10

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

y=2x+9 eq. 1

y=5x+10​ eq. 2

y = ?

x = ?

Step 02:

substitution method

eq.1 in eq.2

2x+9=5x+10​

2x - 5x = 10 - 9

-3x = 1

x = 1 / (-3)

x = - 1 / 3

x in eq. 1

y=2(-1/3) + 9

$\begin{gathered} y\text{ = 2}\cdot(\frac{-1}{3})+9 \\ y=\frac{-2}{3}+9 \\ y=\frac{-2+27}{3}=\frac{25}{3} \end{gathered}$

The answer is:

x = - 1 /3

y = 25 / 3