Solve by substitution method. Show step by step process.
4x+5y=27
x=26-4y
You need to show some work. I think you are answer grazing.
4x+5y=27
x=26-4y
4(26-4y) + 5y = 27
104 - 16y+ 5y = 27
-21y = - 77
21y = 77
y = 77/31
Now, I’m suppose to return to the 2nd equation x=26-4y and substitute 77/31 for x, I don’t understand if the is correct way or how to get the answer for the ordered pair.
To solve the given system of equations using the substitution method, we need to substitute one equation into the other.
Given equations:
1) 4x + 5y = 27
2) x = 26 - 4y
Step 1: Substitute the value of x from equation 2 into equation 1.
Substitute x = 26 - 4y into equation 1:
4(26 - 4y) + 5y = 27
Step 2: Simplify the equation by distributing and combining like terms:
104 - 16y + 5y = 27
-16y + 5y = 27 - 104
-y = -77
Step 3: Solve for y by multiplying the equation by (-1):
y = 77
Step 4: Substitute the value of y into equation 2 to find x:
x = 26 - 4(77)
x = 26 - 308
x = -282
Step 5: The solution to the system of equations is x = -282, y = 77.