What is the solution of the system of equations?
{3x−12y=−72 and x+2y=1
Your answer is x=-1 y=1, have a nice day bae 💚
3x -12y = -72
Multiply second equation by 3.
3x + 6y = 3
Subtract second equation from first.
-18y = -75
y = .9375
Insert in either original equation to find x.
Do you have any typos?
To find the solution to the system of equations, we can use the method of substitution or elimination.
Let's use the method of substitution:
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve the second equation for x:
x + 2y = 1
x = 1 - 2y
Step 2: Substitute the expression we found for x into the other equation.
Substitute 1 - 2y for x in the first equation:
3(1 - 2y) - 12y = -72
Step 3: Simplify and solve for y.
Distribute 3 to the terms inside the parentheses:
3 - 6y - 12y = -72
Combine like terms:
-18y + 3 = -72
Subtract 3 from both sides:
-18y = -75
Divide by -18:
y = -75 / -18
y = 25/6
Step 4: Substitute the value of y back into one of the original equations and solve for x.
Using the first equation:
3x - 12(25/6) = -72
Multiply 12 by 25/6:
3x - 50 = -72
Add 50 to both sides:
3x = -22
Divide by 3:
x = -22/3
Therefore, the solution to the system of equations is x = -22/3 and y = 25/6.