1. 1. Solve the system of equations x + 8y = 8 2x - 9y = -9 2. 2. If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. 3x - 6y = 3 9x - 18y = 6 3. 3. If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. -4x + 6y = -5 18y = -15 + 12x 4. 4. Solve the system of equations. x + y = -1 x - y = 11 5. 5. Determine whether the given ordeblack pair is a solution to the system of equations. (1, -2) 4x + y = 2 3x + 4y = -5 6. 6. Solve the system of equations. 4x + y = -13 6x + 5y = -9

Randall Booker

Randall Booker

Answered question

2022-09-04

1. 1. Solve the system of equations
x + 8y = 8
2x - 9y = -9
2. 2. If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
3x - 6y = 3
9x - 18y = 6
3. 3. If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. -4x + 6y = -5
18y = -15 + 12x
4. 4. Solve the system of equations. x + y = -1
x - y = 11
5. 5. Determine whether the given ordeblack pair is a solution to the system of equations.
(1, -2)
4x + y = 2
3x + 4y = -5
6. 6. Solve the system of equations. 4x + y = -13
6x + 5y = -9

Answer & Explanation

allelog5

allelog5

Beginner2022-09-05Added 19 answers

Number 1
x + 8y = 8
x = 8 - 8y
2x - 9y = -9
2(8 - 8y) - 9y = -9
16 - 16y - 9y = -9
-25y = -25
y= 1
x = 8 - 8(1) = 0
Number 2
3x - 6y = 3
-6y = 3 - 3x
y = -1/2 + 1/2x
9x - 18y = 6
-18y = 6 - 9x
y = -1/3 + 1/2x
There is no particular solution because the graphs don't intersect (they are parallel)
Number 3
18y = -15 + 12x
6y = -5 + 4x
-4x + 6y = 5 because you factor out a three from each side of the equal signs
Number 4
x + y = -1
y = -1 - x
x - y = 11
x - (-1 - x) = 11
x + 1 + x = 11
2x = 10
x = 5
y = -1 - x
y = -1 -5 = -6
Number 5
4x + y = 2
4(1) + (-2) = 2
4 - 2 = 2
2 = 2
3x + 4y = -5
3(1) + 4(-2) = -5
3 - 8 = -5
-5 = -5
Number 6
4x + y = -13
y = -13 - 4x
6x + 5y = -9
6x + 5(-13 - 4x) = -9
6x -65 - 20x = -9
-14x = 56
x = -4
y = -13 - 4x
y = -13 - 4(-4)
y = -1

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