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brilliants [131]
3 years ago
9

Solve the following system of equations using substitution.

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.

5x - 4y = -3

5x - 4(3x-5) = -3

5x -12x+20=-3

               -20     -20  

_______________

5x-12x=-23

-7x=-23

___    ____

 -7       -7

x=3.29 (rounded)

Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.

y = 3x-5

y = 3(3.29)-5

y = 9.87-5

y = 4.87

So, your final answer would be (3.29, 4.87).

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