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4 years ago

5x-2y=14, 2x-y=5 substitution

Mathematics

1 answer:

vitfil [10]4 years ago

7 0

Answer:

The solution set is (4, 3)

Step-by-step explanation:

To solve by substitution, start by solving the second equation for y.

2x - y = 5

-y = -2x + 5

y = 2x - 5

Now that we have this, put that expression in for y in the first equation and solve for x.

5x - 2(2x - 5) = 14

5x - 4x + 10 = 14

x + 10 = 14

x = 4

Now that we have the value of x, input it into either equation and solve for y.

2x - y = 5

2(4) - y = 5

8 - y = 5

-y = -3

y = 3

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