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Hoochie [10]
3 years ago
7

X-1=5x+3x-8help this confused child

Mathematics
1 answer:
alexira [117]3 years ago
4 0
X-1= 5x+3x-8

Combine like terms
x-1= 8x-8

Our goal is to isolate x by cancelling out other numbers.
Subtract x from both sides
x-1-x= 8x-x-8
-1= 7x-8

Add 8 to both sides
7=7x

Divide both sides by 7
1=x

Final answer: x=1
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Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

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3 years ago
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Answer:

Step-by-step explanation:

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2) Divide ambos lados por tres.

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3) Mueva todos los términos a un lado.

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Answer:

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Step-by-step explanation:

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Answer:

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