Answer:
The end result of this exercise is x = 1, y = 1.
Explanation:
To solve by elimination, the coefficients of one of the variables must coincide in the two equations, so that the variable vanishes when one equation is subtracted from the other.
To make 5x and 4x equal, multiply all the terms on each side of the first equation by 4 and all the terms on each side of the second by 5.
- 4×5x+4(−1)y=4×4, 5×4x+5y=5×5
Simplify.
Subtract 20x+5y=25 from 20x−4y=16. To do this, subtract like terms on both sides of the equals sign.
Add 20x and −20x. Terms 20x and −20x cancel, leaving a single-variable equation that can be solved.
Add −4y and −5y.
Add 16 and −25.
Divide both sides by −9.
- y = 1 =====> First result
Substitute 1 for y in 4x+y=5. Since the resulting equation only contains one variable, it can be solved for x directly.
Subtract 1 from both sides of the equation.
Divide both sides by 4.
- x = 1 =====> Second result.