Question

I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work

2x+3y=32
5x-4y= -81

Answer 1

Answers:

• Solving for x on the question - 2x + 3y = 32 |

1. Answer : x =
   `(-3)/(2)`⁻y + 16

• Solving for y on the question - 2x + 3y = 32 |

1. Answer : y =
   `(-2)/(3)`x +
   `(32)/(3)`

• Solving for x on question - 5x - 4y = -81 |

1. Answer : x =
   `(4)/(5)`y +
   `(-81)/(5)`

• Solving for y on question - 5x - 4y = -81 |

1. Answer : y =
   `(-5)/(4)`x +
   `(81)/(4)`

Explanation:

(Solving for x on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

`(2x)/(2)` =
`(-3y+32)/(2)`

x =
`(-3)/(2)`⁻y + 16

(Solving for y on question - 2x + 3y = 32)

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

`(3y)/(3)` =
`(-2x+32)/(3)`

y =
`(-2)/(3)`x +
`(32)/(3)`

(Solving for x on question - 5x - 4y = -81)

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

`(5x)/(5)` =
`(4y-81)/(5)`

x =
`(4)/(5)`y +
`(-81)/(5)`

(Solving for y on question - 5x - 4y = -81 )

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

`(-4y)/(-4)` =
`(-5x-81)/(-4)`

y =
`(-5)/(4)`x +
`(81)/(4)`