can someone explain step by step to solve system equations and example ill show here 3x+4y=-2 x=-2y
the simplest way for this example is to use substitution.
sub x = -2y into 3x+4y = -2
3(-2y) + 4y = -2
-6x + 4y + -2
-2y = -2
y = 1
then since x = -2y
x = -2(1) = -2
so u simplify them and divide and basically is the answer.
Of course! I can explain how to solve a system of equations step-by-step. Let's use the example you provided:
Equation 1: 3x + 4y = -2
Equation 2: x = -2y
Step 1: Choose a method to solve the system of equations. There are a few different methods, such as substitution, elimination, and graphing. In this case, we will use the substitution method.
Step 2: Solve one equation for one variable in terms of the other variable. Let's solve Equation 2 for x:
x = -2y
Step 3: Substitute the expression from Step 2 (x in terms of y) into the other equation. Substitute -2y for x in Equation 1:
3(-2y) + 4y = -2
Step 4: Simplify the resulting equation by performing the operations. Distribute the 3 to -2y in Equation 1:
-6y + 4y = -2
Step 5: Combine like terms:
-2y = -2
Step 6: Solve for y by dividing both sides of the equation by the coefficient of y (-2):
y = -2 / -2
y = 1
Step 7: Substitute the value of y back into Equation 2 to find the value of x:
x = -2(1)
x = -2
Step 8: Check the solution by substituting the values of x and y into both original equations. The values should satisfy both equations.
Using Equation 1:
3x + 4y = -2
3(-2) + 4(1) = -2
-6 + 4 = -2
-2 = -2 (The equation is satisfied)
Using Equation 2:
x = -2y
-2 = -2(1)
-2 = -2 (The equation is satisfied)
Therefore, the solution to the system of equations is x = -2 and y = 1.