Solve the given system by using a substitution method
9x-2y=3
3x-6=y
If you could show the steps because I have 10 problems for homework and I just need an example
Thanks
Thanks for looking-I figured it out-I don't need any help on these
Sure, I can help you with that!
To solve the given system of equations using the substitution method, we need to solve one equation for one variable and substitute that expression into the other equation. Let's go step by step.
Step 1: Solve one equation for one variable.
Let's solve the second equation for y:
3x - 6 = y
Rearranging the equation, we get:
y = 3x - 6
Step 2: Substitute the expression into the other equation.
Now, substitute the expression y = 3x - 6 into the first equation:
9x - 2(3x - 6) = 3
Simplify the equation:
9x - 6x + 12 = 3
Combine like terms:
3x + 12 = 3
Subtract 12 from both sides of the equation:
3x = 3 - 12
3x = -9
Divide both sides by 3:
x = -3
Step 3: Substitute the value of x back into one of the original equations to find y.
Using the second equation:
3(-3) - 6 = y
-9 - 6 = y
y = -15
So, the solution to the given system of equations is x = -3 and y = -15.
Make sure to check your answers by substituting the values back into both original equations!
I hope this helps! Let me know if you have any further questions.