x – 3y = 25
x – 2y = 21
find the x and y values
i think x=-13 and y=4
am i right?
Right
yes thank you!!!!!!!
You're welcome.
I put both systems of equations into the y=mx+b format.
subtract them as they sit
-y = 4
y = -4
back into the first:
x -3(-4) = 25
x + 12 = 25
x = 13
x = 13, y = -4 , you had them opposite.
To find the values of x and y, we can solve the system of equations using the method of elimination or substitution.
Let's solve it using the method of elimination:
Step 1: Multiply both sides of the second equation by -1
-x + 2y = -21
Step 2: Add the two equations together
(x - 3y) + (-x + 2y) = 25 + (-21)
-x + x - 3y + 2y = 25 - 21
-y = 4
Step 3: Solve for y
y = -4
To find the value of x, substitute the value of y = -4 into one of the original equations:
x - 3(-4) = 25
x + 12 = 25
x = 25 - 12
x = 13
Therefore, the correct values of x and y are x = 13 and y = -4. So, your initial guess of x = -13 and y = 4 is incorrect.