Solve by Substitution Solver

Introduction to solve by substitution solver:

Generally the solver uses either a elimination method, the matrix method, the substitution method, or the graphing method to solve the system of simultaneous equations. One of the easiest methods is solving simultaneous equations by substitution method. I like to share this How to do the Substitution Method with you all through my article.

Solving steps used by the substitution solver:

Step 1: Let us take any one of the equation. From this equation, write one variable in terms of the other variable.

Step 2: Next, substitute this in another one equation to get the single variable equation. Simplify and then find a one variable value.

Step 4: Substitute this variable value in any one of the equation, so we get the other another one variable value.

Example Problem to Solve by Substitution Solver:

Example problem 1:

Solve the following two simultaneous equations by substitution method:

x + y = 2---------Equation (1)

x – y = 4---------Equation (2)

Solution:

Step 1: Let us consider the equation (1)

x + y = 2

Subtract x on both sides of the equation

x + y - x = 2 – x

y=-x + 2------------------------Equation (3)

Step 2: Substitute this value of y in Equation (2). We get

x – y = 4

x – (-x + 2) = 4

x + x – 2 =4

2x – 2 = 4

Add 2 on both sides of the equation

2x – 2 + 2 = 4 + 2

2x = 6

Divide by 2 on both sides of the equation

2x/2 = 6/2

x = 3

Step 3: Plugging this value of x in Equation (3), we get

y=-x + 2

y=-3 + 2

y = -1

So, the solution of the simultaneous equations is (3, -1). Is this topic Derivatives Calculus hard for you? Watch out for my coming posts.

Additional Problem to Solve by Substitution Solver:

Solve the following two simultaneous equations by substitution method:

y = 2x ------------Equation (1)

x + 2y = 5------------Equation (2)

Solution:

Step 1: Let us consider the equation (1)

y = 2x

Step 2: Substitute the value of y in Equation (2). We get

x + 2y = 5

x + 2(2x) = 5

x + 4x = 5

5x = 5

Divide by 5 on both sides of the equation

5x/5 = 5/5

x = 1

Step 3: Plugging this value of x in Equation (1), we get

y= 2x

y = 2(1)

y = 2

So, the solution of the simultaneous equations is (1, 2).