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EleoNora [17]
3 years ago
10

Which pair of x and y values below are the solution to the simultaneous equations? x+2y=6 x-2y=2

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

x = 4, y = 1

Step 1: use the equations given to find an equation with only 1 term. Here I used x.

(x + 2y) + (x - 2y) = 2x = 6 + 2 = 8

2x = 8

x = 4

Step 2: substitute x = 4 into either given equation. Here I used the first equation x + 2y = 6.

(4 + 2y) = 6

2y = 6 - 4 = 2

y = 1

This solution can also be done by finding y in step 1 or using the other given equation in step 2.

Hope this helped!

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Let's define the variables:

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We know that a total of 1000 items were ordered, then:

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Now we have the system of equations:

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To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:

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