# Systems Using Substitution

Systems using substitution offer a powerful approach to solving simultaneous equations by replacing variables with expressions. This method provides a systematic way to find the values of unknowns, making it particularly effective for linear equations. By substituting one equation into another, a cohesive system emerges, unraveling the complex interplay of variables. This technique not only simplifies the solving process but also unveils elegant solutions to intricate mathematical problems. As we delve into the realm of systems using substitution, we unlock a methodical strategy that brings clarity to the intricate web of equations and unknowns.

Questions

- How do you solve the system?: #X+Y= -1, Y=3X-17#
- How do you solve the following system?: #y=2x-3 , y= .5x+2 #
- How do you solve #y=-x^2+2x-3# and y=x-5?
- How do solve the following linear system?: # y=-3x+4 , -6x-2y=-8 #?
- How do you solve #x=2y+7# and #3x−2y=3 # using substitution?
- How do you solve the following linear system #3x-7y=1, -3x+5y=1? #?
- How do solve the following linear system?: # x+2y =2 , x-2y = -3 #?
- How do you solve the following system: # 7x - y = 10 , 5x-9y=-23 #?
- How do you solve the following system?: # 1/3y = 3/4x + 5 , 3/2x - 8y = 2 #
- How do you solve the following system?: #-x -y =2, x -y = -1#
- How do you solve the system by the substitution method: #2x+3y=6,x=y-7#?
- How do solve the following linear system?: #-4x + 4 = -4y, 7x + 6y + 11 = 0 #?
- How do you solve the following system?: # x +2y =-7 , -2x +2y = 4#
- How do you solve the system of equations #2x+8y=6# and #-5x-20y=-15#?
- How do solve the following linear system?: # x + y = 2, 3x + 2y = 12#?
- How do you solve the system of equations #50x + 40= y# and #30x + 45= y#?
- How do you solve x + y = 1 and 3x – y = 11?
- How do you solve the following system?: # -29x +53y =-26 , 45x +26y = -1#
- How do you solve the system of equations #3x - 5y = 24# and #x - 2y = 6#?
- How do you solve the following system?: #y=2x-3 , 5x + 3y = -3 #