Solving by Substitution
Solving by substitution is a fundamental algebraic technique used to find the values of variables in a system of equations. It involves replacing one variable with an expression in terms of another variable from another equation in the system. This method is particularly useful when dealing with linear equations or systems where one variable can be easily isolated. By substituting the expression into the other equation, the system can be simplified to solve for the remaining variables. Solving by substitution provides a systematic approach to solving equations and is essential for tackling more complex mathematical problems.
Questions
- How do you find the exact solutions to the system #x^2+y^2=36# and #y=x+2#?
- How do you solve the system #x^2+y^2+8x+7=0# and #x^2+y^2+4x+4y-5=0# and #x^2+y^2=1#?
- How do you solve the system #y = -x + 2#, #2y = 4 - 2x#?
- How do you find the exact solutions to the system #3x^2-20y^2-12x+80y-96=0# and #3x^2+20y^2=80y+48#?
- How do you solve the system #x^2+y^2=17# and #y=x+3#?
- How do I use substitution to find the solution of the system of equations #4x+3y=7# and #3x+5y=8#?
- How do you solve the system #y = x - 4#, #y = 3x + 2#?
- How do you solve the system #x^2 - x - y = 2#, #4x - 3y = 0#?
- Where do the lines #3x + y = 9# and #4x + 2y = 6# intersect?
- How do you solve #y=1/2x^2-4, y=3x+4# using substitution?
- How do you solve the system of #x^2+y^2=8# and #xy=4#?
- How do you solve the system #2x - 3y = 4#, # 3y + 2z = 2#, #x - z = -5#?
- How do you solve the system #x - 3y = -3#, #x + 3y = 9#?
- How do I use substitution to find the solution of the system of equations #y=-2x-4# and #y+4=-2x#?
- How do you solve the system #y = 2x -3#, #x^2 + y^2 = 2#?
- Algebraically, how do you determine the intersection point of the functions #y=(1/2)^(-14x+1)# and #y=8^(2x+1)#?
- How do you solve the system # y = 2x + 1#, #y = 3x - 7#?
- How do you solve the system #y=x+7#, # y=(x+3)^2-8#?
- How do you solve the system #x - y = 4#, #3x - 3y = 6#?
- How do you solve the system #3x + y = 4#, #-6x - 2y = 12#?