Solve the system by the substitution method y=-2x-4 5x-2y=-1
It would help to have at least a comma to set the two equations apart.
y=-2x-4
5x-2y=-1
Substitute -2x-4 for y in second equation and solve for x. Insert that value into the first equation and solve for y. Check by inserting both values into the second equation.
To solve this system of equations using the substitution method, follow these steps:
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve the first equation for y in terms of x:
y = -2x - 4
Step 2: Substitute the expression from step 1 into the second equation.
Replace y in the second equation with the expression -2x - 4:
5x - 2(-2x - 4) = -1
Step 3: Simplify and solve for x.
Distribute -2 into the parentheses:
5x + 4x + 8 = -1
Combine like terms:
9x + 8 = -1
Subtract 8 from both sides:
9x = -9
Divide both sides by 9:
x = -1
Step 4: Substitute the value of x back into one of the original equations to solve for y.
Using the first equation:
y = -2(-1) - 4
y = 2 - 4
y = -2
Step 5: Check the solution by substituting the values of x and y into the second equation.
5x - 2y = -1
5(-1) - 2(-2) = -1
-5 + 4 = -1
-1 = -1
Therefore, the solution to the system of equations is x = -1 and y = -2.