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Solve the linear equation by eliminating 'x'(substitution method) -x+ 3y=8 ; 4x 7y=25?
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Solve the linear equation by eliminating 'x'(substitution method) -x+...
Substitution Method to Solve Linear Equations

The substitution method is a way to solve a system of linear equations by substituting one equation into the other and solving for one variable.

Given Equations:
- x - 3y = 8
- 4x + 7y = 25

Step 1: Solve for x in one of the equations
- x - 3y = 8
- x = 8 + 3y

Step 2: Substitute the value of x from Step 1 into the other equation
- 4x + 7y = 25
- 4(8 + 3y) + 7y = 25

Step 3: Simplify and solve for y
- 32 + 12y + 7y = 25
- 19y = -7
- y = -7/19

Step 4: Substitute the value of y into the equation from Step 1 to solve for x
- x = 8 + 3y
- x = 8 + 3(-7/19)
- x = 209/19

Step 5: Check the solution
- Substitute the values of x and y into both equations to check if they are true.
- (-209/19) - 3(-7/19) = 8
- 4(-209/19) + 7(-7/19) = 25

Final Answer:
- x = 209/19, y = -7/19
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Solve the linear equation by eliminating 'x'(substitution method) -x+ 3y=8 ; 4x 7y=25?
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