Solve by the substitution method.
3x+8y=57
x=67-8y
3(67 - 8y) +8y = 57
201 - 24y + 8y = 57
144 = 16 y
You finish it. Divide both sides of the equation by 16.
Solve by the substitution
8x+3y=-18
-4x+y=14
To solve the system of equations using the substitution method, we will substitute the value of x from the second equation into the first equation.
The second equation is x = 67 - 8y.
Now, substitute this value of x into the first equation, which is 3x + 8y = 57:
3(67 - 8y) + 8y = 57
Simplify the equation by distributing 3 to both terms inside the parentheses:
201 - 24y + 8y = 57
Combine like terms:
-16y + 201 = 57
Next, we want to isolate the variable y, so let's subtract 201 from both sides of the equation:
-16y = 57 - 201
Simplify:
-16y = -144
Now, divide both sides by -16 to solve for y:
y = (-144) / (-16)
y = 9
Now, substitute the value of y back into the second equation to find x:
x = 67 - 8(9)
x = 67 - 72
x = -5
Therefore, the solution to the system of equations is x = -5 and y = 9.
To solve the system of equations using the substitution method, we substitute the value of one variable from one equation into the other equation. In this case, we will substitute the value of x from the second equation into the first equation.
Given:
3x + 8y = 57 ...(Equation 1)
x = 67 - 8y ...(Equation 2)
Step 1: Substitute the value of x from Equation 2 into Equation 1.
3(67 - 8y) + 8y = 57
Step 2: Simplify and solve for y.
201 - 24y + 8y = 57
-16y = 57 - 201
-16y = -144
y = -144 / -16
y = 9
Step 3: Substitute the value of y back into Equation 2 to find x.
x = 67 - 8(9)
x = 67 - 72
x = -5
Step 4: Check the solution by substituting the values of x and y into Equation 1.
3(-5) + 8(9) = -15 + 72 = 57
Therefore, the solution to the system of equations is x = -5 and y = 9.