Question

Y=2x+8
Y=3x+1
How to solve by substitution

Answer 1

x=7

y=22

Explanation:

So how you do these problems is to basically solve this as an algebraic equation since we know that both of your problems are the same due to the transitive property of equality.

`2x+8=3x+1\\2x=3x-7\\-x=-7\\x=7`

Now that we know that x is 7, substitute it into the equations:

`y=2*7+8\\y=14+8\\y=22`

In conclusion, by substitution, x=7 and y=22. Hope this answered your question :D

Answer 2

The substitution method can be used for any set of equations.

I'll proceed assuming you meant to ask how the substitution method can be used to solve for x and y in the 2 equations you entered.

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y=2x-1 and y=-3x+4

Since both expressions on the right sides of the eqns = y, they equal each other.

2x-1 = -3x+4

This is substitution, the right sides were substituted for y.

Add 3x

5x-1 = 4

Add 1

5x = 4

x = 1 x

Now substitute 1 for x into either eqn to find y.

y = 2*1-1

y = 1 y

we're done.

Explanation: