Question

substitution (level 1)
score: 0/5 penalty: 1 off
question
solve the system by substitution.
y = x - 6
y = - 5x
answer attempt 1 out of 2
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Explanation:

Step1: Substitute y - expressions

Since \(y=x - 6\) and \(y=-5x\), we can set \(x - 6=-5x\).

Step2: Solve for x

Add \(5x\) to both sides of the equation \(x - 6=-5x\). We get \(x+5x-6=-5x + 5x\), which simplifies to \(6x-6 = 0\). Then add 6 to both sides: \(6x-6 + 6=0 + 6\), so \(6x=6\). Divide both sides by 6: \(x = 1\).

Step3: Solve for y

Substitute \(x = 1\) into \(y=-5x\). Then \(y=-5\times1=-5\).

Answer:

\((1,-5)\)