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Y=-x+4,y=3x
in substitution method

User Mike Loux
by
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1 Answer

3 votes

Answer: x = 1, y = 3.

Explanation:

For substitution, you take the value of one variable, either x or y, and replace that variable with the equation it is equivalent to.

For simplicity, I'll substitute the y- variable. We know y has the same value as 3x, so we can replace the y-value in equation 1 with 3x:
y = -x + 4, y = 3x;

3x = -x + 4

Now simplify to find the value of x:

3x = -x + 4 = 4x = 4 = 4(/4)x = 4(/4) = x = 1

So we know x = 1, now we use this x-value to find y. You can plug x into either equation to get y.

y = -(1) + 4 = 3

or

y = 3(1) = 3

So x = 1 and y = 3.

User Alex Sveshnikov
by
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