I DON’T KNOW WHAT I’M DOING WRONG
Solve the following systems using the elimination method.
5x-y=4
4x+y=5

Answers

Answer:

The end result of this exercise is x = 1, y = 1.

Step-by-step 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.

5x−y=4,4x+y=5

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.

20x−4y=16, 20x+5y=25

Subtract 20x+5y=25 from 20x−4y=16. To do this, subtract like terms on both sides of the equals sign.

20x−20x−4y−5y=16−25

Add 20x and −20x. Terms 20x and −20x cancel, leaving a single-variable equation that can be solved.

−4y−5y=16−25

Add −4y and −5y.

−9y=16−25

Add 16 and −25.

−9y=−9

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.

You need to plug the two equations together. This means that you can do the addition method because y and -y have the same abosute value but they have differnet signs. So you add 5x-y=4 and 4x+y=5 thats going to be 9x+0=9 (9x=9) and you have to divide 9 to both sides. You do that and you get x=1. Then you have to solve for y. You just plug it in any equation. Lets do 4x+y=5. When you plug x in it it will be 4(1)+y=5. You simplify it and it will be 4+y=5 subtract 4 to both sides to get y=1 and you are done.

Answer:x = 1, y = 1.Step-by-step explanation:5x−y=4,4x+y=55xand4xequal, multiply all the terms on each side of the first equation by4and all the terms on each side of the second by5.4×5x+4(−1)y=4×4, 5×4x+5y=5×520x−4y=16, 20x+5y=2520x+5y=25from20x−4y=16. To do this, subtract like terms on both sides of the equals sign.20x−20x−4y−5y=16−2520xand−20x. Terms20xand−20xcancel, leaving a single-variable equation that can be solved.−4y−5y=16−25−4yand−5y.−9y=16−2516and−25.−9y=−9−9.y = 1 =====> First result1foryin4x+y=5. Since the resulting equation only contains one variable, it can be solved for x directly.4x+1=51from both sides of the equation.4x=44.x = 1 =====> Second result.Answer:Step-by-step explanation: