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8 votes
8 votes
Solve the system by substitution 3x-y=10 2x=y

User Carlos Nunez
by
2.6k points

2 Answers

27 votes
27 votes
X=10, Y=20
steps
1) substitute 2x into the equation for Y
2) combine like terms ( 3x and -2x which equals 1x or x)
3) solve for x’s value (10)
4) plug in x’s value to solve for y
5) plug values into original equation to check work
Solve the system by substitution 3x-y=10 2x=y-example-1
User Juwalter
by
2.6k points
12 votes
12 votes

Answer

X=10 and y=20

Explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

User Kevin Nzioka
by
3.5k points