Solve 2x + 3y = 16 4x+10y = 40

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

8 0

Answer:

x = 5, y = 2

Step-by-step explanation:

First, find the value of x in respect to y:

2x + 3y = 16
2x = 16 - 3y

x = 8 - 3/2y

Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):

4(8 - 3/2y) + 10y = 40

Then, distribute and solve for y:

32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
<u>y = 2</u>

Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10

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