Solve y=2x-4 , 3x+y=11 in substitution method
I need more explanation please
3 x + 2 x - 4 = 11
5 x = 15
x = 3
y = 6-4 = 2
I need more explanation
I also need more explaination
I now understand
what is the question
To solve the system of equations using the substitution method, follow these steps:
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the first equation, y = 2x - 4, for y in terms of x. We get y = 2x - 4.
Step 2: Substitute this expression for y in the second equation.
Substituting y = 2x - 4 into the second equation, we get 3x + (2x - 4) = 11.
Step 3: Simplify and solve for x.
Combining like terms, we have 3x + 2x - 4 = 11. Simplifying further, we have 5x - 4 = 11.
Adding 4 to both sides, we get 5x = 15.
Dividing both sides by 5, we get x = 3.
Step 4: Substitute the value of x back into one of the original equations to solve for y.
Substituting x = 3 into the first equation y = 2x - 4, we get y = 2(3) - 4.
Simplifying, we have y = 6 - 4, which gives y = 2.
Step 5: Check the solution by substituting the values of x and y into the second equation.
Substituting x = 3 and y = 2 into the second equation, we have 3(3) + 2 = 11.
Simplifying, we have 9 + 2 = 11, which is true.
Therefore, the solution to the system of equations is x = 3, y = 2.