how would i solve 2x+9y=33 x=19-5y
2x+9y=33
x=19-5y
2(19-5y) + 9y = 33
38 - 10y + 9y = 33
-y = 33 - 38
y = 5
To solve the given system of equations, we can use the method of substitution.
Step 1: Start with the first equation: 2x + 9y = 33.
Step 2: Substitute the value of x from the second equation into the first equation, since x = 19 - 5y:
2(19 - 5y) + 9y = 33.
Step 3: Simplify and solve for y:
38 - 10y + 9y = 33.
-10y + 9y = 33 - 38.
-y = -5.
Divide both sides of the equation by -1:
y = 5.
Step 4: Substitute the value of y back into the second equation to find x:
x = 19 - 5(5).
x = 19 - 25.
x = -6.
Therefore, the solution to the system of equations is x = -6 and y = 5.