substitution method
4x+9y=52
x=35-5y
4(35-5y) + 9 y = 52
you go from there
To solve the given system of equations using the substitution method, follow these steps:
1. Start with the two equations:
4x + 9y = 52 ---(Equation 1)
x = 35 - 5y ---(Equation 2)
2. Solve Equation 2 for x by isolating the variable:
x = 35 - 5y
3. Substitute the expression for x in Equation 2 into Equation 1:
4(35 - 5y) + 9y = 52
4. Simplify the equation by applying the distributive property:
140 - 20y + 9y = 52
5. Combine like terms:
140 - 11y = 52
6. Move all terms involving y to one side of the equation:
-11y = 52 - 140
-11y = -88
7. Divide both sides of the equation by -11 to solve for y:
y = -88 / (-11)
y = 8
8. Substitute the value of y back into Equation 2 to find the value of x:
x = 35 - 5(8)
x = 35 - 40
x = -5
9. Therefore, the solution to the system of equations is x = -5 and y = 8.
By following these steps, you can solve the given system of equations using the substitution method.