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Using substitution method, solve
3x-y=0
2x+y=5

User Wmmhihaa
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1 Answer

4 votes

Answer:

x=1 y=3

Explanation:

Hello!

So, this says to use the substitution method. The substitution method is where you set one equation equal to one of the letters, and then put that whole equation in the other equation.

So->

3x-y=0

if we move the y to the other side we have:

3x=y

then we have our second equation:

2x+y=5

Now, we don't know what NUMBER y is yet, but we do know that it is equal to 3x. Thus, we can put it into the equation like this.

2x+(3x)=5

Then, we can add like terms and get:

5x=5

Dividing each term by five, we get

x=1

We could have also done this be solving for x in the equations and then substituting that in instead of y.

Now that we have x, we can easily put it into the equations and solve for y.

3x-y=0

3(1)-y=0

3=y

So now we know that x is equal to 1 and y is equal to 3.

User Mohammad Olfatmiri
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