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Juli2301 [7.4K]
3 years ago
12

How to substitute equations

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0
When you are substituting equations, all you are doing is plugging in variables. Lets do an example..something random but easy...
y = 2x - 3
4x + 2y = 10
So since 2x + 3 equals y we are going to plug in those numbers into the second equation.
4x + 2(2x - 3) = 10
Now we distribute
4x + 4x - 6 = 10
Combine like terms.
8x - 6 = 10
Add 6 to both sides.
8x = 16
Divide.
x = 2
And thats how you substitute equations.
I hope this helps love! :)
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Answer:

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Step-by-step explanation:

3x - 5y = 14 Equation 1

– 2x + 2y = 0 Equation 2

Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question

Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate

-2(3x - 5y = 14)

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-6x+6y=0 Equation 4

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y=-28/5

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Substitute for y in equation 2

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– 2x + 2(-5.6) = 0

-2x-11.2=0

-2x=11.2

x=-11.2/2

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