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What is the solution of the system? Use the substitution method. {y−2x=8 {16+4x=2y The only solution is (24, 0) The only solution is (1, 10) There is no solution. There are an infinite number of solutions.
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What is the solution of the system?

Use the substitution method.

{y−2x=8
{16+4x=2y

The only solution is (24, 0)

The only solution is (1, 10)

There is no solution.

There are an infinite number of solutions.

User Applechief
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8.6k points

1 Answer

7 votes
subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y


there are an infinite number of solutions
User George Dimitrov
by
8.7k points
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