Question

3x-4y=9
-5y+22=x

System of equation using substitution method

Answer 1

The solution to the given system of equations is x = 7 and y = 3.

Step-by-step explanation:

To solve the given system of equations using the substitution method, we will solve one equation for one variable and substitute that expression into the other equation to find the value of the remaining variable.

Let's solve the second equation for x:

-5y + 22 = x

Now, substitute this expression for x in the first equation:

3x - 4y = 9

3(-5y + 22) - 4y = 9

-15y + 66 - 4y = 9

-19y + 66 = 9

-19y = -57

y = 3

Now, substitute y = 3 back into the second equation to find x:

x = -5(3) + 22

x = 7

Therefore, the solution to the given system of equations is x = 7 and y = 3.