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ICE Princess25 [194]
3 years ago
7

2x+3y=8 9x-3y = 14solve by substitution ​

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer: x=2 and y=4/3

Step-by-step explanation:

To solve by substitution method, you want to solve for one variable, and plug it into the other equation.

Let's solve for y in 2x+3y=8.

2x+3y=8                          [subtract both sides by 2x]

3y=8-2x                           [divide both sides by 3]

y=\frac{8-2x}{3}

Now that we have y, we can plug it into the second equation.

9x-3y=14                         [plug in y]

9x-3(\frac{8-2x}{3} )=14                 [multiply 3 and y to cancel out the 3]

9x-(8-2x)=14                [distribute -1 to 8-2x]

9x-8+2x=14                   [combine like terms]

11x-8=14                          [add both sides by 8]

11x=22                                [divide both sides by 11]

x=2

Since we know the value of x, we can substitute it back into any of the 2 equations to find y.

2x+3y=8                           [plug in x=2]

2(2)+3y=8                        [multiply 2 and 2]

4+3y=8                            [subtract both sides by 4]

3y=4                                  [divide both sides by 3]

y=\frac{4}{3}

Our final answer is x=2 and y=4/3.

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Step-by-step explanation:

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